Sufficient conditions for the Hölder smoothness of a function
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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 $L^p$.References
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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
- © 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
Dedicated: To dear Boris Mikhaĭlovich Makarov, with great respect