Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms

Kobra Esmaeili; Mikael Lindström

doi:10.1007/s00020-013-2038-4

Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms

Kobra Esmaeili, Mikael Lindström^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

61 Citations (Scopus)

Abstract

Let u ∈ H(D) and φ be an analytic self-map of D. We estimate the essential norms of weighted composition operators uC_φ acting on Zygmund type spaces in terms of u, φ, their derivatives and the n-th power φⁿ of φ. Moreover, we give similar characterizations for boundedness of uC_φ between Zygmund type spaces.

Original language	English
Pages (from-to)	473-490
Number of pages	18
Journal	Integral Equations and Operator Theory
Volume	75
Issue number	4
DOIs	https://doi.org/10.1007/s00020-013-2038-4
Publication status	Published - Apr 2013
MoE publication type	A1 Journal article-refereed

Keywords

Essential norms
Weighted composition operators
Zygmund type spaces

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10.1007/s00020-013-2038-4

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abstract = "Let u ∈ H(D) and φ be an analytic self-map of D. We estimate the essential norms of weighted composition operators uCφ acting on Zygmund type spaces in terms of u, φ, their derivatives and the n-th power φn of φ. Moreover, we give similar characterizations for boundedness of uCφ between Zygmund type spaces.",

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AB - Let u ∈ H(D) and φ be an analytic self-map of D. We estimate the essential norms of weighted composition operators uCφ acting on Zygmund type spaces in terms of u, φ, their derivatives and the n-th power φn of φ. Moreover, we give similar characterizations for boundedness of uCφ between Zygmund type spaces.

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KW - Zygmund type spaces

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Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms

Abstract

Keywords

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