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Martingale Hardy Spaces and their Applications in Fourier Analysis

https://doi.org/10.1007/bfb0073448
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Walsh–Fourier Series and Their Generalizations in Orlicz Spaces
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A Generalization for Fourier Transforms of a Theorem due to Marcinkiewicz
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Mixed Norm Martingale Hardy Spaces and Applications in Fourier Analysis
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Appendix: Dyadic Group and Walsh and Kaczmarz Systems
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Martingales and Almost Everywhere Convergence of Partial Sums of Vilenkin-Fourier Series
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Convergence of Vilenkin-Fourier Series in Variable Martingale Hardy Spaces
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A Note on Carleson-Hunt Type Theorems for Vilenkin-Fourier Series
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On Convergence and Divergence of Fourier Series and Féjer Means with Applications to Lebesgue and Vilenkin-Lebesgue Points
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Convergence and Summability in Classical and Martingale Hardy Spaces
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Approximation by Vilenkin-Nörlund Means in Lebesgue Spaces
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Modulus of Continuity and Convergence of Fejér Means of Vilenkin-Fourier Series in the Variable Martingale Hardy Space $$H_{p(\cdot )}$$
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On Unconditional Convergence of Fourier Series with Respect to General Orthonormal Systems
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Martingale Hardy Spaces and Some Maximal Operators Associated with Walsh-Fejér Means
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One-Dimensional Hardy Spaces
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One-Dimensional Fourier Transforms
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Multi-Dimensional Hardy Spaces
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Multi-Dimensional Fourier Transforms
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ℓ q -Summability of Multi-Dimensional Fourier Transforms
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Rectangular Summability of Multi-Dimensional Fourier Transforms
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Summability of D-Dimensional Trigonometric-Fourier Series
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The boundedness of the two-parameter Sunouchi operators on Hardy spaces
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Interpolation between continuous parameter martingale spaces: The real method
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Cesàro summability of one- and two-dimensional Walsh-Fourier series
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Duality results and inequalities with respect to Hardy spaces containing function sequences
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MartingaleBMO spaces with continuous time
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The maximal (C, α, β) operator of two-parameter walsh-fourier series
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Martingale Hardy spaces and the dyadic derivative
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Hardy-Littlewood type inequalities for Vilenkin-Fourier coefficients
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Davis’s inequalities for two-parameter Banach space valued strong martingales and geometrical properties of Banach spaces
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Two-parameter banach space valued strong martingales and characterizations ofp-smoothable spaces
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Atomic decompositions of weak Hardy spaces ofB-valued martingales
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Riemann summability of multi-dimensional trigonometric-fourier series
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Real interpolation betweenB-valued martingale Hardy spaces
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Two-parameter vector-valued martingales and geometrical properties of Banach spaces
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The maximal (C,α,β) operator on Hp(T×T)
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Atomic decompositions of Banach-spacevalued martingales
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B-valued martingale spaces with small index and atomic decompositions
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The maximal Fejér operator on the spacesH p (R×···×R)
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Boundedness of operators on Hardy spaces
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Singular integrals on product domains
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A Sharp Boundedness Result Concerning Some Maximal Operators of Vilenkin–Fejér Means
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Strong Convergence Theorem for Walsh–Kaczmarz–Fejér Means
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Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods
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Some New Weak $$(H_p-L_p)$$-Type Inequality for Weighted Maximal Operators of Partial Sums of Walsh–Fourier Series
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Almost everywhere convergence of Ciesielski-Fourier series of H1functions
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Maximal Operators of Vilenkin–Nörlund Means
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An Analogy of the Carleson–Hunt Theorem with Respect to Vilenkin Systems
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Dimension Independent Atomic Decomposition for Dyadic Martingale $$ \pmb {{\mathbb {H}}}^{1}$$
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Two-Dimensional Hardy–Littlewood Theorem for Functions with General Monotone Fourier Coefficients
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Norm and A.E. Convergence of Subsequences of Vilenkin–Nörlund Means with Non-Increasing Sequences
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Burkholder’s inequalities associated with Orlicz functions in rearrangement invariant spaces
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Hoeffding decomposition in $$H^1$$ spaces
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Doob’s maximal inequality and Burkholder–Davis–Gundy’s inequality on Musielak–Orlicz spaces
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On multipliers into martingale $$SL^\infty $$ spaces for arbitrary filtrations
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John–Nirenberg Inequalities for Noncommutative Column BMO and Lipschitz Martingales
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Carleson measures and vector-valued BMO martingales
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A new characterization of p-smoothable Banach spaces
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The martingale hardy type inequality for Marcinkiewicz-Fejér means of two-dimensional conjugate Walsh-Fourier series
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Real interpolation between martingale hardy and BMO spaces
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Duals of Hardy spaces of B-valued martingales for 0 < r ≤ 1
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Some Inequalities for Tree Martingales
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A Four-Weight Weak Type Maximal Inequality for Martingales
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Doob’s maximal inequalities for martingales in variable Lebesgue space
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New Doob’s Maximal Inequalities for Martingales
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Vector-valued weak martingale Hardy spaces and atomic decompositions
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Maximal operators of Fejér means of double Walsh-Fourier series
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Almost everywhere convergence of Banach space-valued Vilenkin-Fourier series
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Interpolation for martingale Hardy spaces over weighted measure spaces
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A weak type inequality for the maximal operator of (C, α)-means of Fourier series with respect to the Walsh-Kaczmarz system
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Weak atomic decomposition of B-valued martingales with two-parameters
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Weak atomic decomposition of B-valued martingales with two-parameters
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Interpolation theorems for Lorentz martingale spaces
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Strong convergence theorems for Walsh–Fejér means
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Duality theorems for noncommutative quasi-martingale spaces
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Atomic decompositions of martingale hardy–morrey spaces
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The Walsh–Kaczmarz–Marcinkiewicz means and Hardy spaces
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Atomic subspaces of $${L_1}$$ L 1 -martingale spaces
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Dual spaces of weak martingale Hardy–Lorentz–Karamata spaces
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Bounded operators on vector-valued weak Orlicz martingale spaces
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Grand Martingale Hardy spaces
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On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space H 1
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Weighted mixed-norm inequality on Doob’s maximal operator and John–Nirenberg inequalities in Banach function spaces
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Maximal and generalized fractional integral operators in grand Morrey martingale spaces
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Maximal operators of Cesàro means with varying parameters of Walsh–Fourier series
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Cesàro and Riesz summability with varying parameters of multi-dimensional Walsh–Fourier series
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Interpolation of martingale Orlicz–Hardy spaces
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Two-parameter martingale Orlicz–Hardy spaces
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Dual spaces and inequalities of new weak martingale Hardy spaces
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Maximal operators of Walsh–Nörlund means on the dyadic Hardy spaces
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Interpolation on weak martingale Hardy-type spaces associated with quasi-Banach function lattice
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Some New weak-($$H_{p}-L_p$$) Type Inequalities For Weighted Maximal Operators Of Fejér Means Of Walsh–Fourier Series
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Approximation by Nörlund means with respect to Vilenkin system in Lebesgue spaces
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Atomic decompositions of martingale Hardy Lorentz amalgam spaces and applications
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Doob's inequality, Burkholder–Gundy inequality and martingale transforms on martingale local Morrey spaces
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Maximal operators of (C,α)-means of cubic partial sums of d-dimensional Walsh-Fourier series
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Walsh-Lebesgue points of multi-dimensional functions
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Абсолютная сходимость кратных рядов по мультипликативным системам
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Estimates of best approximations in integral metrics and Fourier coefficients with respect to multiplicative systems
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On the (C, α)-means with respect to the Walsh system
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Interpolation Between Continuous Parameter Martingale Hardy–Lorentz and BMO Spaces
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Maximal Operators and Characterization of Hardy Spaces
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Weighted Weak Type Mixed Φ-Inequalities for Martingale Maximal Operator
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Weighted weak type mixed $$\Phi$$-inequalities for martingale maximal operator
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Martingale Hardy Orlicz–Lorentz–Karamata spaces and applications in Fourier analysis
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On the maximal operator of Walsh-Kaczmarz-Fejér means
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On the Nörlund means of Vilenkin-Fourier series
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Atomic decomposition of predictable martingale Hardy space with variable exponents
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Embeddings of Lorentz spaces of vector-valued martingales
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Littlewood–Paley–Rubio De Francia Inequality for the Two-Parameter Walsh System
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On the Fejér means of double Fourier series with respect to the Walsh-Kaczmarz system
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Restricted maximal operators of Fejér means of double Walsh-Fourier series
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On the maximal operators of Walsh-Kaczmarz-Fejér means
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Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces
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$$\Phi $$-moment martingale inequalities in variable morrey spaces
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Almost everywhere summability of two-dimensional walsh-fourier series
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Some new $$(H_p-L_p)$$ type inequalities for weighted maximal operators of partial sums of Walsh–Fourier series
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Dual Spaces for Weak Martingale Hardy Spaces Associated with Rearrangement-Invariant Spaces
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Martingale Theory of Variable Lorentz-Karamata Spaces and Applications to Walsh-Fourier Analysis
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Strong Convergence of Two-Dimensional Walsh–Fourier Series
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A Remark on John–Nirenberg Theorem for Martingales
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Some New Results on the Strong Convergence of Fejér Means with Respect to Vilenkin Systems
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Almost Everywhere Convergence of T Means with Respect to the Vilenkin System of Integrable Functions
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Weak martingale Hardy spaces and weak atomic decompositions
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Interpolation for weak Orlicz spaces with M Δ condition
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Weak Orlicz space and its applications to the martingale theory
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L p,q -norm estimates associated with Burkholder’s inequalities
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Interpolation of Lorentz martingale spaces
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Operator-valued martingale transforms in rearrangement invariant spaces and applications
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Martingale Musielak-Orlicz Hardy spaces
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Tree Martingales in Noncommutative Probability Spaces
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B-valued dyadic derivative
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Mixed Martingale Hardy Spaces
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Martingale Hardy Spaces and Some New Weighted Maximal Operators of Fejér Means of Walsh–Fourier Series
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Characterizations of "Equation missing" Weights in Martingale Spaces
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Boundedness of Dyadic Maximal Operators on Musielak–Orlicz Type Spaces and Its Applications
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Equivalent characterizations of martingale Hardy–Lorentz spaces with variable exponents
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Interpolation of variable Hardy–Lorentz–Karamata spaces associated with rearrangement functions
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Sharp strong convergence result of the two-dimensional Walsh-Fourier series in martingale Hardy spaces
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New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents
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Orlicz-Lorentz-Karamata Hardy martingale spaces: inequalities and fractional integral operators
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Almost everywhere convergence and divergence of Cesàro means with varying parameters of Walsh–Fourier series
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Real Interpolation Between Strong Martingale Hardy Spaces
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B-Valued Martingale Hardy–Lorentz–Karamata Spaces
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Boundedness of the Dyadic Derivative In Variable Hardy Spaces
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A one-dimensional reduction principle for tensor product maximal weighted Walsh operators in dyadic Hardy spaces
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Dual Spaces of Grand Orlicz-Lorentz Martingale Spaces and John-Nirenberg Inequalities
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Martingale Hardy–Orlicz-amalgam spaces
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Complex interpolation between noncommutative martingale BMO spaces and Hardy–Orlicz spaces
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Martingale inequalities in variable Lorentz–Karamata spaces
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Dual spaces for variable martingale Lorentz–Hardy spaces
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$$\Phi$$-moment martingale inequalities on Lorentz spaces with variable exponents
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Real interpolation of variable martingale Hardy spaces and BMO spaces
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Some new restricted maximal operators of Fejér means of Walsh–Fourier series
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Applications of martingale Hardy Orlicz–Lorentz–Karamata theory in Fourier analysis
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Martingale inequalities in Orlicz–Karamata modular spaces
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Dual spaces for martingale Musielak–Orlicz Lorentz Hardy spaces
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Real interpolation for martingale Orlicz-Lorentz-Karamata Hardy spaces
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Marcinkiewicz type interpolation theorems for weak Orlicz martingale spaces and application
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(C,α) summability of Walsh–Kaczmarz–Fourier series
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Marcinkiewicz multiplier theorem and the Sunouchi operator for Ciesielski–Fourier series
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Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems
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Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales
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Atomic decompositions for noncommutative martingales
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Multiplication between elements in martingale Hardy spaces and their dual spaces
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Multi-parameter product martingale Musielak–Orlicz Hardy spaces and inequalities
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Discrete Hardy’s inequalities with 0
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Marcinkiewicz–Fejer means of d-dimensional Walsh–Fourier series
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Hörmander multipliers on two-dimensional dyadic Hardy spaces
inferred← citeshttps://doi.org/10.1016/j.jmaa.2010.12.001openalex-snapshot
Embeddings between weak Orlicz martingale spaces
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Maximal functions, Hardy spaces and Fourier multiplier theorems on unbounded Vilenkin groups
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Martingale transforms between Orlicz–Hardy spaces of predictable martingales
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Dual spaces of weak Orlicz–Hardy spaces for vector-valued martingales
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Atomic decompositions of vector-valued weak Musielak–Orlicz martingale spaces and applications
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