Abstract
The boundedness, compactness, and essential norm of weighted composition operators from Besov Zygmund-type spaces into Zygmund-type spaces are investigated in this paper.
Highlights
Let D denote the open unit disk in the complex plane C and HðDÞ the space of all analytic functions in D
The boundedness, compactness, and essential norm of weighted composition operators from Besov Zygmund-type spaces into Zygmund-type spaces are investigated in this paper
The Bloch type space Bα consists of those functions f ∈ HðDÞ for which
Summary
Let D denote the open unit disk in the complex plane C and HðDÞ the space of all analytic functions in D. The boundedness, compactness, and essential norm of weighted composition operators from Besov Zygmund-type spaces into Zygmund-type spaces are investigated in this paper. For an analytic self-map φ of D and u ∈ HðDÞ, the weighted composition operator uCφ is defined as follows: ÀÁ uCφf ðzÞ = uðzÞf ðφðzÞÞ, f ∈ HðDÞ, z ∈ D: ð1Þ The Bloch type space Bα consists of those functions f ∈ HðDÞ for which
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