A Note on Isolation Amongst the Composition Operators on the Generalized Weighted Bergman Spaces

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Authors

  • Studentski Trg 16, Beograd-11000 ,RS

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, where
Bw,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 https://www.informaticsjournals.com/index.php/jims/article/view/21904