Bootstrap methods in bounding discrete Radon operators

DOI10.1016/j.jfa.2022.109650zbMath1504.44001arXiv2203.16880OpenAlexW4286268662MaRDI QIDQ2165551

Publication date: 20 August 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.16880

zbMATH Keywords

bootstrap discrete Radon transform seminorm inequality

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Radon transform (44A12)

Related Items (1)

Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes

Cites Work

Unnamed Item
Variation estimates for averages along primes and polynomials
Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
Maximal and singular integral operators via Fourier transform estimates
Differentiation in lacunary directions and an extension of the Marcinkiewicz multiplier theorem
The strong p-variation of martingales and orthogonal series
On the maximal ergodic theorem for certain subsets of the integers
On the pointwise ergodic theorem on $L^ p$ for arithmetic sets
Variation in probability, ergodic theory and analysis
Discrete analogues in harmonic analysis: spherical averages
Square function estimates for discrete Radon transforms
Oscillation and variation for the Hilbert transform
Singular and maximal Radon transforms: Analysis and geometry
Jump inequalities via real interpolation
A bootstrapping approach to jump inequalities and their applications
Jump inequalities for translation-invariant operators of Radon type on $\mathbb{Z}^d$
$\ell^p(\mathbb{Z}^d)$-estimates for discrete operators of Radon type: maximal functions and vector-valued estimates
Discrete Radon transforms and applications to ergodic theory
$\ell ^p\left(\mathbb {Z}^d\right)$-estimates for discrete operators of Radon type: variational estimates
Discrete maximal functions in higher dimensions and applications to ergodic theory
$L^p$ boundedness of discrete singular Radon transforms
Strong variational and jump inequalities in harmonic analysis
An almost-orthogonality principle with applications to maximal functions associated to convex bodies
La variation d'ordre p des semi-martingales
Differentiation in lacunary directions
Problems in harmonic analysis related to curvature
Oscillation in ergodic theory
Variation inequalities for the Fejér and Poisson kernels
Discrete analogues in harmonic analysis, I: l 2[superscript estimates for singular radon transforms]
ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS
THE IONESCU–WAINGER MULTIPLIER THEOREM AND THE ADELES

This page was built for publication: Bootstrap methods in bounding discrete Radon operators