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St. Petersburg Mathematical Journal

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



Sufficient conditions for the Hölder smoothness of a function

Author: N. A. Shirokov
Translated by: A. Plotkin
Original publication: Algebra i Analiz, tom 25 (2013), nomer 3.
Journal: St. Petersburg Math. J. 25 (2014), 507-511
MSC (2010): Primary 30H25
Published electronically: May 16, 2014
MathSciNet review: 3184604
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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Additional Information

N. A. Shirokov
Affiliation: Department of mathematics and mechanics, St. Petersburg State University, Universitetskii pr. 28, Staryi Peterhof, St. Petersburg 198504, Russia

Keywords: H\"older classes, outer function
Received by editor(s): February 15, 2013
Published electronically: May 16, 2014
Dedicated: To dear Boris Mikhaĭlovich Makarov, with great respect
Article copyright: © Copyright 2014 American Mathematical Society

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