Analytic functions with smooth absolute value of boundary data

DOI10.13108/2017-9-3-148zbMath1463.30128OpenAlexW2780871289MaRDI QIDQ5136717

F. A. Shamoyan

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa396

zbMATH Keywords

analytic functionmodulus of continuityfactorizationouter function

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

• Outer functions from the analytic O. V. Besov classes
• Analytic functions smooth up to the boundary
• Local smoothness of an analytic function compared to the smoothness of its modulus
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