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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Sufficient conditions for the Hölder smoothness of a function
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by N. A. Shirokov
Translated by: A. Plotkin
St. Petersburg Math. J. 25 (2014), 507-511
DOI: https://doi.org/10.1090/S1061-0022-2014-01302-7
Published electronically: May 16, 2014
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Abstract:

An outer function in the unit disk satisfies the Hölder condition of order $ps/(p+1)$ provided its modulus is $s$-Hölder on the unit circle and has logarithm in $L^p$.
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Bibliographic Information
  • N. A. Shirokov
  • Affiliation: Department of mathematics and mechanics, St. Petersburg State University, Universitetskii pr. 28, Staryi Peterhof, St. Petersburg 198504, Russia
  • Email: nikolai.shirokov@gmail.com
  • Received by editor(s): February 15, 2013
  • Published electronically: May 16, 2014

    • Dedicated: To dear Boris Mikhaĭlovich Makarov, with great respect
  • © Copyright 2014 American Mathematical Society
  • Journal: St. Petersburg Math. J. 25 (2014), 507-511
  • MSC (2010): Primary 30H25
  • DOI: https://doi.org/10.1090/S1061-0022-2014-01302-7
  • MathSciNet review: 3184604