Sobolev regularity for commutators of the fractional maximal functions

DOI10.1007/s43037-020-00095-6zbMath1459.42029OpenAlexW3092292970MaRDI QIDQ2218276

Shuai Xi, Feng Liu

Publication date: 15 January 2021

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-020-00095-6

zbMATH Keywords

Sobolev spacefractional 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

Regularity of commutator of bilinear maximal operator with Lipschitz symbols, Regularity of commutators of the bilinear maximal operator, Endpoint Sobolev regularity of higher order maximal commutators, Pointwise gradient estimates and Sobolev boundedness for commutators of fractional new maximal operators, Regularity of commutators of maximal operators with Lipschitz symbols, Regularity of local bilinear maximal operator, Regularity for commutators of the local multilinear fractional maximal operators, Endpoint Sobolev regularity of the fractional maximal commutators, Commutators of local bilinear maximal operator with Sobolev symbols, Regularity of commutators of multilinear maximal operators with Lipschitz symbols

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