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2007 On Bloch-Type Functions with Hadamard Gaps
Stevo Stević
Abstr. Appl. Anal. 2007: 1-8 (2007). DOI: 10.1155/2007/39176

Abstract

We give some sufficient and necessary conditions for an analytic function f on the unit ball B with Hadamard gaps, that is, for f ( z ) = k = 1 P n k ( z ) (the homogeneous polynomial expansion of f ) satisfying n k + 1 / n k λ > 1 for all k , to belong to the space p α ( B ) = { f | sup 0 < r < 1 ( 1 r 2 ) α \| f r \| p < , f H ( B ) } , p = 1 , 2 , as well as to the corresponding little space. A remark on analytic functions with Hadamard gaps on mixed norm space on the unit disk is also given.

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Stevo Stević. "On Bloch-Type Functions with Hadamard Gaps." Abstr. Appl. Anal. 2007 1 - 8, 2007. https://doi.org/10.1155/2007/39176

Information

Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1157.32301
MathSciNet: MR2365811
Digital Object Identifier: 10.1155/2007/39176

Rights: Copyright © 2007 Hindawi

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