Endpoint Sobolev Continuity of the Fractional Maximal Function in Higher Dimensions

DOI10.1093/IMRN/RNZ281zbMath1486.42029arXiv1906.00496OpenAlexW2994014499MaRDI QIDQ5022035

David Beltran, J. A. Jiménez Madrid

Publication date: 18 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.00496

zbMATH Keywords

Sobolev spacescontinuityfractional 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)

Related Items (13)

Endpoint Sobolev boundedness and continuity of multilinear fractional maximal functions ⋮ 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 ⋮ Sunrise strategy for the continuity of maximal operators ⋮ Regularity of general maximal and minimal functions ⋮ The minimal function of a BV function ⋮ Endpoint Sobolev regularity of higher order maximal commutators ⋮ Endpoint Sobolev regularity of multilinear maximal operators ⋮ On the continuity of maximal operators of convolution type at the derivative level ⋮ Gradient bounds for radial maximal functions ⋮ Endpoint Sobolev regularity of the fractional maximal commutators

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