On a capacitary strong type inequality and related capacitary estimates

DOI10.4171/RMI/1285zbMath1486.31016arXiv2009.09291MaRDI QIDQ832460

Nguyen Cong Phuc, Keng Hao Ooi

Publication date: 25 March 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09291

zbMATH Keywords

Choquet integralnonlinear potential theoryMaz'ya type capacitary inequality

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Other generalizations (nonlinear potential theory, etc.) (31C45) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (2)

The spherical maximal function on Choquet spaces ⋮ Preduals of Sobolev multiplier spaces for end point cases

Cites Work

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• Choquet integrals in potential theory
• Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers
• Characterizations of predual spaces to a class of Sobolev multiplier type spaces
• Theory of Sobolev Multipliers
• Weighted norm inequalities for integral operators
• Nonlinear equations and weighted norm inequalities
• Choquet Integrals, Hausdorff Content and the Hardy-Littlewood Maximal Operator
• NON-LINEAR POTENTIAL THEORY
• Nonlinear potential analysis on Morrey spaces and their capacities
• Sobolev Spaces

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