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Maximal inequalities and some applications

https://doi.org/10.1214/23-ps17
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Modern Fourier Analysis
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Integral Inequalities for Convex Functions of Operators on Martingales
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Bochner spaces
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Lectures on Gaussian Processes
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On the Distribution of Sums of Independent Random Variables
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Die Grundlagen der Theorie der Markoffschen Prozesse
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Limit Theorems for Stochastic Processes
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Continuous Martingales and Brownian Motion
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Theory of Martingales
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On the Representation of Continuous Functions of Several Variables as Superpositions of Continuous Functions of a Smaller Number of Variables
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New proof of the theorem of A. Dvoretzky on intersections of convex bodies
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Pseudo differential operators with variable order of differentiation generating feller semigroups
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Some dimension-free features of vector-valued martingales
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Concentration of measure and isoperimetric inequalities in product spaces
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Unconditional and symmetric sets inn-dimensional normed spaces
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Martingales and Stochastic Integrals I
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Inegalites de convexite pour les processus croissants et les sousmartingales
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Flot d'une equation differentielle stochastique (d'après malliavin, bismut, kunita)
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Presentation unifiee de certaines inegalites de la theorie des martingales
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A class of convolution semi-groups of measures on a Lie group
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Harnack inequality for some classes of Markov processes
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Weighted BMO and discrete time hedging within the Black-Scholes model
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Growth and Hölder conditions for the sample paths of Feller processes
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Stochastic solutions for fractional wave equations
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Feller generators with measurable lower order terms
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On Maximal Inequalities for Stable Stochastic Integrals
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On Harnack Inequality and Hölder Regularity for Isotropic Unimodal Lévy Processes
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An introduction to probability theory and its applications
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The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
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Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times
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On the maximal inequalities of Burkholder, Davis and Gundy
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On the domain of fractional Laplacians and related generators of Feller processes
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On shift Harnack inequalities for subordinate semigroups and moment estimates for Lévy processes
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Existence and estimates of moments for Lévy-type processes
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Time change equations for Lévy-type processes
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A semigroup approach to nonlinear Lévy processes
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On a maximal inequality and its application to SDEs with singular drift
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Remarks on moment inequalities and identities for martingales
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Lower bounds of the Hausdorff dimension for the images of Feller processes
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Support theorem for jump processes
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Markov Processes, Gaussian Processes, and Local Times
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Function Spaces, Entropy Numbers, Differential Operators
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Diffusions, Markov Processes and Martingales
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Entropy, Compactness and the Approximation of Operators
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On some series of functions, (1)
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Conservativeness and Extensions of Feller Semigroups
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Harnack Inequalities for Jump Processes
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Probability Inequalities for Sums of Bounded Random Variables
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Criteria for the finiteness of the strong p-variation for Lévy-type processes
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Stochastic Analysis
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Solutions of Lévy-driven SDEs with unbounded coefficients as Feller processes
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A Martingale Inequality and the Law of Large Numbers
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An Extended Markov Property
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Sharp Square-Function Inequalities for Conditionally Symmetric Martingales
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Compound kernel estimates for the transition probability density of a Lévy process in ℝⁿ
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Concentration Inequalities
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ON BOUNDED BILINEAR FORMS IN AN INFINITE NUMBER OF VARIABLES
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A Note on Infinitely Divisible Distributions
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On Moment Inequalities for Stochastic Integrals
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On Discontinuous Martingales
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Markov Processes, Feller Semigroups and Evolution Equations
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Lower bounded semi-Dirichlet forms associated with Lévy type operators
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Pseudo Differential Operators and Markov Processes
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STRONG FELLER CONTINUITY OF FELLER PROCESSES AND SEMIGROUPS
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p-variation of strong Markov processes
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Existence of (Markovian) solutions to martingale problems associated with Lévy-type operators
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On Embedding Right Continuous Martingales in Brownian Motion
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On a Theorem of Skorohod
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Some Multivariate Chebyshev Inequalities with Extensions to Continuous Parameter Processes
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Majorizing measures: the generic chaining
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The Central Limit Theorem for Stochastic Integrals with Respect to Levy Processes
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The Growth of Random Walks and Levy Processes
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Processes that can be Embedded in Brownian Motion
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Distribution Function Inequalities for Martingales
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The Symbol Associated with the Solution of a Stochastic Differential Equation
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Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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Markov Processes, Semigroups and Generators
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Martingale und Prozesse
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Brownian Motion
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Sums of Independent Random Variables
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Intrinsic small time estimates for distribution densities of Lévy processes
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On the Support of Diffusion Processes with Applications to the Strong Maximum Principle
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Intrinsic compound kernel estimates for the transition probability density of Lévy-type processes and their applications
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A METHOD OF CONSTRUCTION OF MEASURES ON FUNCTION SPACES AND ITS APPLICATIONS TO STOCHASTIC PROCESSES
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Uber Die Beste Annaherung Von Funktionen Einer Gegebenen Funktionenklasse
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Logarithmic Sobolev Inequalities
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Weighted sums of certain dependent random variables
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On the Feller property of Dirichlet forms generated by pseudo differential operators
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Viscosity solutions to Hamilton–Jacobi–Bellman equations associated with sublinear Lévy(-type) processes
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Generalization of the Blumenthal–Getoor index to the class of homogeneous diffusions with jumps and some applications
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Perpetual integrals via random time changes
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Upper functions for sample paths of Lévy(-type) processes
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Lévy Processes, Generalized Moments and Uniform Integrability
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Construction and heat kernel estimates of generalstable-like Markov processes
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Distribution function inequalities for the area integral
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Quelques théorèmes sur les fonctions indépendantes
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The best constants in the Khintchine inequality
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Pseudo differential operators with negative definite symbols of variable order
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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Неравенство Колмогорова для максимума суммы случайных величин и его мартингальные аналоги
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