Products of multiplication composition and differentiation operators on weighted Bergman spaces

Let ψ be a holomorphic function on the open unit disk D and φ a holomorphic self-map of D . Let C φ , M ψ and D denote the composition, multiplication and differentiation operator, respectively. We consider linear operators induced by products of these operators on weighted Bergman spaces on D . The...

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Vydáno v:Applied mathematics and computation Ročník 217; číslo 20; s. 8115 - 8125
Hlavní autoři: Stević, Stevo, Sharma, Ajay K., Bhat, Ambika
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier Inc 15.06.2011
Elsevier
Témata:
Boundedness
Composition operator
Differentiation
Differentiation operator
Disks
Exact sciences and technology
Global analysis, analysis on manifolds
Linear operators
Mathematical analysis
Mathematical models
Mathematics
Multiplication
Multiplication operator
Numerical analysis
Numerical analysis. Scientific computation
Operator theory
Operators
Sciences and techniques of general use
Several complex variables and analytic spaces
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Differentiation operator
Multiplication operator
Composition operator
Boundedness
Multiplication
Numerical analysis
Applied mathematics
Holomorphic mapping
Linear operator
ISSN:0096-3003, 1873-5649
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Popis
Shrnutí:Let ψ be a holomorphic function on the open unit disk D and φ a holomorphic self-map of D . Let C φ , M ψ and D denote the composition, multiplication and differentiation operator, respectively. We consider linear operators induced by products of these operators on weighted Bergman spaces on D . The boundedness is established by using Carleson-type measures.
Bibliografie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.03.014