Maximal potentials, maximal singular integrals, and the spherical maximal function

DOI10.1090/S0002-9939-2014-12129-0zbMath1306.42034arXiv1306.6358OpenAlexW2017174909MaRDI QIDQ3190399

Zhuomin Liu, Piotr Hajłasz

Publication date: 17 September 2014

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

Full work available at URL: https://arxiv.org/abs/1306.6358

zbMATH Keywords

Sobolev spacesingular integralspherical maximal functionmaximal potentials

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (4)

On the variation of the Hardy-Littlewood maximal function ⋮ Sobolev spaces, Lebesgue points and maximal functions ⋮ On the spherical maximal function on finite graphs ⋮ Rough maximal singular integral and maximal operators supported by subvarieties on Triebel-Lizorkin spaces

Cites Work

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• Sobolev spaces, Lebesgue points and maximal functions
• Averages in the plane over convex curves and maximal operators
• The Hardy-Littlewood maximal function of a Sobolev function
• Calderón-Zygmund capacities and Wolff potentials on Cantor sets
• Vector-valued Riesz potentials: Cartan-type estimates and related capacities
• Classical Fourier Analysis
• Weakly Differentiable Functions
• Maximal functions: Spherical means
• REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION

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