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Weighted Composition Operators on the Zygmund Space

Weighted composition operators on the Zygmund space
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,012 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Ye, Shanli; Hu, Qingxiao;

doi: 10.1155/2012/462482

Weighted Composition Operators on the Zygmund Space

Abstract

We characterize the boundedness and compactness of the weighted composition operator on the Zygmund space 𝒵 = {f ∈ H(D) : sup z∈D(1−|z|2) | f″(z)| < ∞} and the little Zygmund space 𝒵0.

Related Organizations
Keywords

Lipschitz spaces, Banach spaces of continuous, differentiable or analytic functions, composition operators, Linear composition operators, QA1-939, Spaces of bounded analytic functions of one complex variable, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Top 10%
Average
gold