Local one-sided maximal function on fractional Sobolev spaces

DOI10.7153/MIA-2019-22-36zbMath1422.42024OpenAlexW2930817202WikidataQ128104318 ScholiaQ128104318MaRDI QIDQ5226565

Abhishek Ghosh, Kalachand Shuin

Publication date: 1 August 2019

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2019-22-36

zbMATH Keywords

\(A_p\) weightsfractional Sobolev spacelocal maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

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• Local maximal operators on fractional Sobolev spaces
• Beyond local maximal operators
• The Hardy-Littlewood maximal function of a Sobolev function
• Nonlinear potential theory and weighted Sobolev spaces
• Weighted inequalities for the two-dimensional one-sided Hardy-Littlewood maximal function
• On the variation of the Hardy-Littlewood maximal function
• On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝⁿ
• Continuity of the maximal operator in Sobolev spaces
• REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
• A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function
• New Proofs of Weighted Inequalities for the One-Sided Hardy-Littlewood Maximal Functions
• Weighted Norm Inequalities for the Hardy Maximal Function

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