Local smoothness of an analytic function compared to the smoothness of its modulus

DOI10.1090/S1061-0022-2014-01296-4zbMath1302.30075OpenAlexW2087880243MaRDI QIDQ2931116

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Publication date: 24 November 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2014-01296-4

zbMATH Keywords

Hölder continuityanalytic functions in the disk

Mathematics Subject Classification ID

Function theory on the disc (30J99)

Related Items (7)

Generalized pointwise Hölder type conditions of order less than two for an analytic function and its modulus ⋮ Drop of the smoothness of an outer function compared to the smoothness of its modulus, under restrictions on the size of boundary values ⋮ Comparison of boundary smoothness for an analytic function and for its modulus in the case of the upper half-plane ⋮ Outer functions in classes of analytic functions of variable smoothness ⋮ Analytic functions with smooth absolute value of boundary data ⋮ Local boundary smoothness of an analytic function and its modulus in several dimensions: an announcement ⋮ On the local Hölder boundary smoothness of an analytic function in the unit ball compared with the smoothness of its modulus

Cites Work

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• Peak sets for analytic Hölder classes
• Analytic functions smooth up to the boundary
• Approximation in the mean by polynomials on non-Caratheodory domains
• The moduli of holomorphic functions in Lipschitz spaces
• Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
• Maximal functions measuring smoothness
• Mean Oscillation Over Cubes and Holder Continuity

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