The Journal of the Indian Mathematical Society

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


Affiliations
1 Studentski Trg 16, Beograd-11000, Serbia
     

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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)<+∞}.


Keywords

Composition Operator, Modulus Function. Generalized Weighted Bergman Space, Almost Classical Weight, Non-Isolated.
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  • A Note on Isolation Amongst the Composition Operators on the Generalized Weighted Bergman Spaces

Abstract Views: 215  |  PDF Views: 0

Authors

Stevo Stevic
Studentski Trg 16, Beograd-11000, Serbia

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)<+∞}.


Keywords


Composition Operator, Modulus Function. Generalized Weighted Bergman Space, Almost Classical Weight, Non-Isolated.