Continuity for the one-dimensional centered Hardy-Littlewood maximal operator at the derivative level

DOI10.1016/J.JFA.2023.110097arXiv2109.09691OpenAlexW3199224581MaRDI QIDQ6175747

Cristian González-Riquelme

Publication date: 18 August 2023

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

Full work available at URL: https://arxiv.org/abs/2109.09691

zbMATH Keywords

continuitymaximal operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Discrete version of topics in analysis (39A12) Distance in graphs (05C12) Functions of bounded variation, generalizations (26A45) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (3)

Endpoint regularity of discrete multilinear maximal and minimal operators ⋮ The minimal function of a BV function ⋮ Endpoint Sobolev regularity of multilinear maximal operators

Cites Work

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• Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities
• A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function
• Gradient bounds for radial maximal functions

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