Regularity of fractional maximal functions through Fourier multipliers

DOI10.1016/j.jfa.2018.11.004zbMath1422.42012arXiv1803.02581OpenAlexW2790901261WikidataQ128920442 ScholiaQ128920442MaRDI QIDQ1715469

David Beltran, Olli Saari, João Pedro Ramos

Publication date: 4 February 2019

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

Full work available at URL: https://arxiv.org/abs/1803.02581

zbMATH Keywords

Sobolev spacemaximal functionbounded variationspherical mean, fractional maximal function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)

Related Items (15)

Weak differentiability for fractional maximal functions of general \(L^p\) functions on domains ⋮ Derivative bounds and continuity of maximal commutators ⋮ Endpoint Sobolev bounds for fractional Hardy-Littlewood maximal operators ⋮ Sobolev regularity of polar fractional maximal functions ⋮ Endpoint regularity of discrete multilinear maximal and minimal operators ⋮ Regularity of general maximal and minimal functions ⋮ Regularity of the centered fractional maximal function on radial functions ⋮ Endpoint Sobolev regularity of higher order maximal commutators ⋮ Regularity of Maximal Operators: Recent Progress and Some Open Problems ⋮ BV continuity for the uncentered Hardy-Littlewood maximal operator ⋮ Gradient bounds for radial maximal functions ⋮ Endpoint Sobolev regularity of the fractional maximal commutators ⋮ \(L^p\)-\(L^q\) local smoothing estimates for the wave equation via \(k\)-broad Fourier restriction ⋮ Sharp Local Smoothing Estimates for Fourier Integral Operators ⋮ Commutators of local bilinear maximal operator with Sobolev symbols

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