Generalized Pointwise Hölder Type Conditions of Order Less Than Two for an Analytic Function and Its Modulus


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Abstract

The results of a recent paper by A. V. Vasin, S. V. Kislyakov, and the author on the relationship between the local boundary smoothness of an analytic function and local boundary smoothness of its modulus are extended to the case of generalized pointwise Hölder type conditions of order between one and two.

About the authors

A. N. Medvedev

St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg Electrotechnical University “LETI”

Author for correspondence.
Email: alkomedvedev@gmail.com
Russian Federation, St. Petersburg

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