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2009 Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane
Stevo Stević
Abstr. Appl. Anal. 2009: 1-8 (2009). DOI: 10.1155/2009/161528

Abstract

Here we introduce the nth weighted space on the upper half-plane Π+={z:Imz>0} in the complex plane . For the case n=2, we call it the Zygmund-type space, and denote it by 𝒵(Π+). The main result of the paper gives some necessary and sufficient conditions for the boundedness of the composition operator Cφf(z)=f(φ(z)) from the Hardy space Hp(Π+) on the upper half-plane, to the Zygmund-type space, where φ is an analytic self-map of the upper half-plane.

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Stevo Stević. "Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane." Abstr. Appl. Anal. 2009 1 - 8, 2009. https://doi.org/10.1155/2009/161528

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1173.30036
MathSciNet: MR2501016
Digital Object Identifier: 10.1155/2009/161528

Rights: Copyright © 2009 Hindawi

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