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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 456, Pages 155–159
(Mi znsl6429)
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Generalized pointwise Hölder type conditions of order less than two for an analytic function and its modulus
A. N. Medvedevab a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg Electrotechnical University, St. Petersburg, Russia
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.
Key words and phrases:
outer function, harmonic conjugation operator, finite differences.
Received: 09.06.2017
Citation:
A. N. Medvedev, “Generalized pointwise Hölder type conditions of order less than two for an analytic function and its modulus”, Investigations on linear operators and function theory. Part 45, Zap. Nauchn. Sem. POMI, 456, POMI, St. Petersburg, 2017, 155–159; J. Math. Sci. (N. Y.), 234:3 (2018), 369–372
Linking options:
https://www.mathnet.ru/eng/znsl6429 https://www.mathnet.ru/eng/znsl/v456/p155
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Abstract page: | 135 | Full-text PDF : | 24 | References: | 26 |
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