On the continuous and discontinuous maximal operators

DOI10.1016/J.NA.2017.12.016zbMath1393.42022OpenAlexW2789719355WikidataQ110865527 ScholiaQ110865527MaRDI QIDQ1748238

Hannes Luiro

Publication date: 9 May 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.12.016

zbMATH Keywords

Sobolev spacescontinuitymaximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear operators and their properties (47H99)

Related Items (4)

Sobolev regularity of polar fractional maximal functions ⋮ Sunrise strategy for the continuity of maximal operators ⋮ Continuity for the one-dimensional centered Hardy-Littlewood maximal operator at the derivative level ⋮ On the continuity of maximal operators of convolution type at the derivative level

Cites Work

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• On the regularity of maximal operators
• Maximal functions: Spherical means
• REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
• A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function

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