A Note on Isolation Amongst the Composition Operators on the Generalized Weighted Bergman Spaces
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Bw,ω(U)={f∈H(U)/|∫uw(|f(z)|)ω(z)dm(z)<+∞}.
Keywords:
Composition Operator, Modulus Function. Generalized Weighted Bergman Space, Almost Classical Weight, Non-Isolated.Abstract
In this note we prove that every composition operator is non-isolated in Comp (Bw.ω) endowed with strong operator topology, whereBw,ω(U)={f∈H(U)/|∫uw(|f(z)|)ω(z)dm(z)<+∞}.
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Published
2003-12-01
How to Cite
Stevic, S. (2003). A Note on Isolation Amongst the Composition Operators on the Generalized Weighted Bergman Spaces. The Journal of the Indian Mathematical Society, 70(1-4), 67–71. Retrieved from http://mail.informaticsjournals.com/index.php/jims/article/view/21904
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Copyright (c) 2003 Stevo Stevic
This work is licensed under a Creative Commons Attribution 4.0 International License.