Sufficient conditions for the Hölder smoothness of a function

DOI10.1090/S1061-0022-2014-01302-7zbMath1302.30074MaRDI QIDQ2931122

Nikolai Shirokov

Publication date: 24 November 2014

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

zbMATH Keywords

outer functionsHölder classes

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Function theory on the disc (30J99)

Related Items (4)

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 ⋮ On the local Hölder boundary smoothness of an analytic function in the unit ball compared with the smoothness of its modulus

Cites Work

• Peak sets for analytic Hölder classes
• Analytic functions smooth up to the boundary
• Approximation in the mean by polynomials on non-Caratheodory domains
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