Composition Operators between Analytic Campanato Spaces
Jie Xiao, Wen Xu
TL;DR
This paper characterizes when composition operators are bounded or compact between different analytic Campanato spaces on the unit disk, providing insights into their operator-theoretic properties.
Contribution
It offers a complete characterization of boundedness and compactness of composition operators between any two analytic Campanato spaces.
Findings
Provides necessary and sufficient conditions for boundedness.
Provides necessary and sufficient conditions for compactness.
Extends the understanding of composition operators on Campanato spaces.
Abstract
This note characterizes both boundedness and compactness of a composition operator between any two analytic Campanato spaces on the unit complex disk.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Algebraic and Geometric Analysis