Drop of the smoothness of an outer function compared to the smoothness of its modulus, under restrictions on the size of boundary values

DOI10.1007/s10958-016-2867-1zbMath1353.30053OpenAlexW2345073764MaRDI QIDQ2628855

Alexey N. Medvedev

Publication date: 18 July 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2867-1

zbMATH Keywords

boundary valuesouter functionsrearrangement invariant Banach spacessmoothnees

Mathematics Subject Classification ID

Spaces and algebras of analytic functions of one complex variable (30H99) Function theory on the disc (30J99)

Cites Work

• Equivalent norms on Lipschitz-type spaces of holomorphic functions
• Local smoothness of an analytic function compared to the smoothness of its modulus
• Sufficient conditions for the Hölder smoothness of a function
• A Class of Operators on the Lorentz Space M(ϕ)
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