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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Zygmund condition for Bloch functions in the ball in $ {\bf C}\sp{n}$


Authors: Joseph A. Cima and Barnet M. Weinstock
Journal: Proc. Amer. Math. Soc. 79 (1980), 597-600
MSC: Primary 32A40; Secondary 46E30
MathSciNet review: 572311
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Abstract: In this paper we prove the equivalence of the Bloch condition for a holomorphic function f on the ball $ {B_n}$ with the Zygmund second difference condition for a suitable primitive F of f.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0572311-8
PII: S 0002-9939(1980)0572311-8
Keywords: Bloch function, several complex variables, Zygmund condition
Article copyright: © Copyright 1980 American Mathematical Society