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Variation bounds for spherical averages (Q2134196)

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Language	Label	Description	Also known as
English	Variation bounds for spherical averages	scientific article

Statements

scholarly article

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Variation bounds for spherical averages (English)

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Richard Oberlin

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Mathematische Annalen

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publication date

6 May 2022

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full work available at URL

https://arxiv.org/abs/2009.07366

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http://hdl.handle.net/20.500.11824/1328

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zbMATH Keywords

\(r\)-variation operators

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\(r\)-variation estimates

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MaRDI profile type

MaRDI publication profile

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Sharp weighted norm estimates beyond Calderón-Zygmund theory

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Averages in the plane over convex curves and maximal operators

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Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein

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The proof of the \(l^2\) decoupling conjecture

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Intermediate spaces and interpolation, the complex method

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The boundedness of the maximal Bochner-Riesz operator on \(L^ 4\)(\(R^ 2\))

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Classes of singular integral operators along variable lines

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On Almost Everywhere Convergence of Bochner-Riesz Means in Higher Dimensions

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A note on spherical summation multipliers

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\(H^p\) spaces of several variables

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Sharp variation-norm estimates for oscillatory integrals related to Carleson's theorem

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A sharp square function estimate for the cone in \(\mathbb{R}^3\)

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Radial Fourier multipliers in high dimensions

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Estimates for translation invariant operators in \(L^p\) spaces

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Oscillation in ergodic theory

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Strong variational and jump inequalities in harmonic analysis

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On the Littlewood-Paley and Marcinkiewicz functions in higher dimensions

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Sparse bounds for spherical maximal functions

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A Note on the Spherical Maximal Operator for Radial Functions

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Endpoint estimates for the circular maximal function

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Square function estimates for the Bochner-Riesz means

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Improved bounds for Stein's square functions

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Square functions and maximal operators associated with radial Fourier multipliers

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La variation d'ordre p des semi-martingales

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\(\ell ^p\left(\mathbb {Z}^d\right)\)-estimates for discrete operators of Radon type: variational estimates

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A bootstrapping approach to jump inequalities and their applications

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Jump inequalities for translation-invariant operators of Radon type on \(\mathbb{Z}^d\)

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Jump inequalities via real interpolation

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A variation norm Carleson theorem

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The strong p-variation of martingales and orthogonal series

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A Calderón–Zygmund estimate with applications to generalized Radon transforms and Fourier integral operators

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The \(p\)-variation of partial sum processes and the empirical process

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Endpoint maximal and smoothing estimates for Schrödinger equations

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A generalization of Bourgain’s circular maximal theorem

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Local smoothing estimates related to the circular maximal theorem

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On quasiradial Fourier multiplier and their maximal functions.

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ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS

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Propagation of singularities and maximal functions in the plane

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Maximal functions: Spherical means

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Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates

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Theory of function spaces

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Identifiers

zbMATH Open document ID

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10.1007/s00208-021-02218-2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2134196

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