Comparison of boundary smoothness for an analytic function and for its modulus in the case of the upper half-plane

DOI10.1007/s10958-018-3696-1zbMath1388.30045OpenAlexW2793117880MaRDI QIDQ1709817

Alexey N. Medvedev

Publication date: 6 April 2018

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

Full work available at URL: https://doi.org/10.1007/s10958-018-3696-1

zbMATH Keywords

smoothnessouter functions in the upper half plane

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Function theory on the disc (30J99)

Cites Work

• Approximation in the mean by polynomials on non-Caratheodory domains
• The moduli of holomorphic functions in Lipschitz spaces
• Local smoothness of an analytic function compared to the smoothness of its modulus
• Sufficient conditions for the Hölder smoothness of a function
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