A capacitary weak type inequality for Sobolev functions and its applications

DOI10.1090/S0002-9939-00-05976-1zbMath0970.42014OpenAlexW1587041783MaRDI QIDQ4523192

Wei-Shyan Tai

Publication date: 8 January 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05976-1

zbMATH Keywords

Sobolev spacemaximal functionRiesz capacityweak-type estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by other special function classes (41A30)

Cites Work

• Quasi-additivity and sets of finite \(L^p\)-capacity
• Maximal mean steepness and Lusin type properties
• Weakly Differentiable Functions
• Pointwise Differentiability and Absolute Continuity
• Maximal Operators and Capacity
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