Regularity and continuity of the multilinear strong maximal operators

DOI10.1016/j.matpur.2020.02.006zbMath1439.42029arXiv1801.09828OpenAlexW3006683013MaRDI QIDQ2181108

Feng Liu, Kôzô Yabuta, Qing Ying Xue

Publication date: 18 May 2020

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09828

zbMATH Keywords

Sobolev spacesSobolev capacitymultilinear strong maximal operatorsTriebel-Lizorkin spaces and Besov spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral operators (47G10)

Related Items

Derivative bounds and continuity of maximal commutators, Endpoint regularity of discrete multilinear maximal and minimal operators, Sunrise strategy for the continuity of maximal operators, On the regularity and continuity of the multilinear fractional strong maximal operators, Regularity of general maximal and minimal functions, The minimal function of a BV function, The limiting weak-type behaviors of the strong maximal operators, Regularity and continuity of commutators of multilinear maximal operators, Endpoint Sobolev regularity of the fractional maximal commutators, Regularity of local multilinear fractional maximal and strong maximal operators, Sobolev boundedness and continuity for commutators of the local Hardy–Littlewood maximal function, Regularity of commutators of multilinear maximal operators with Lipschitz symbols

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