Weighted Composition Operators from $H^\infty$ to the Bloch Space in the Unit Ball of Cn
Juntao Du, Songxiao Li
TL;DR
This paper investigates the properties of weighted composition operators from $H^$ to the Bloch space in the unit ball of Cn, providing new characterizations for their boundedness and essential norm.
Contribution
It introduces novel criteria for the boundedness and compactness of weighted composition operators between these function spaces in several complex variables.
Findings
New characterizations for boundedness of operators
Criteria for the essential norm of operators
Insights into operator behavior in complex analysis
Abstract
The boundedness and compactness of weighted composition operators from to the Bloch space in the unit ball of Cn are investigated in this paper. In particular, some new characterizations for the boundedness and the essential norm of weighted composition operators are given.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Algebraic and Geometric Analysis