Sobolev spaces, Lebesgue points and maximal functions

DOI10.1007/s11784-013-0111-xzbMath1282.46033arXiv1306.6503OpenAlexW1983995553MaRDI QIDQ360550

Piotr Hajłasz, Zhuomin Liu

Publication date: 27 August 2013

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6503

zbMATH Keywords

Sobolev spacesmaximal functionspherical maximal functionLebesgue points

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (5)

Maximal potentials, maximal singular integrals, and the spherical maximal function ⋮ On the variation of the Hardy-Littlewood maximal function ⋮ The spherical maximal function on Choquet spaces ⋮ Non-absolutely convergent generalized Laplacian ⋮ Regularity of local multilinear fractional maximal and strong maximal operators

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• The co-area formula for Sobolev mappings
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