Bianalytic capacities and Calderon commutators

DOI10.1007/S13324-018-0276-YzbMath1429.42022OpenAlexW2904341362WikidataQ128779905 ScholiaQ128779905MaRDI QIDQ2009437

Maxim Ya Mazalov

Publication date: 28 November 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-018-0276-y

zbMATH Keywords

singular integralsLittlewood-Paley theoryuniform approximationCarleson measurescapacitiesCalderon commutatorsbianalytic functionsLipschitz graphssemiadditivity property

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Commutators, derivations, elementary operators, etc. (47B47) Approximation by other special function classes (41A30)

Related Items (1)

Approximation by polyanalytic functions in Hölder spaces

Cites Work

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• \(C^ m\) approximation by solutions of elliptic equations, and Calderón-Zygmund operators
• BMO and Lipschitz approximation by solutions of elliptic equations
• Approximation in the Mean by Solutions of Elliptic Equations
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• An Extremal Problem on Singular Integrals
• Cauchy integrals on Lipschitz curves and related operators
• Uniform approximations by bianalytic functions on arbitrary compact subsets of $ \mathbb C$
• Conditions for $ C^m$-approximability of functions by solutions of elliptic equations
• COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
• The analytic capacity of sets in problems of approximation theory
• On the solvability and stability of the Dirichlet problem
• A Notion of Capacity Which Characterizes Removable Singularities

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