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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 456, Pages 155–159 (Mi znsl6429)  
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
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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.
Key words and phrases: outer function, harmonic conjugation operator, finite differences.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00198-A
Received: 09.06.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 3, Pages 369–372
DOI: https://doi.org/10.1007/s10958-018-4014-7
Document Type: Article
UDC: 517.547.3
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Med17}
\by A.~N.~Medvedev
\paper Generalized pointwise H\"older type conditions of order less than two for an analytic function and its modulus
\inbook Investigations on linear operators and function theory. Part~45
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 456
\pages 155--159
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6429}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 3
\pages 369--372
\crossref{https://doi.org/10.1007/s10958-018-4014-7}
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