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Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions
-
Elke Wolf
Published/Copyright:
May 30, 2012
Abstract.
Let 
be an analytic self-map of the open unit disk 
in the complex plane and 
be an analytic map on . Such maps induce a weighted composition operator followed by differentiation 
acting between the weighted Banach spaces of holomorphic functions. We characterize the boundedness and compactness of such operators in terms of the involved weights as well as the functions and .
Keywords: Weighted composition operators followed by differentiation; weighted Banach spaces of holomorphic functions
Received: 2011-05-27
Published Online: 2012-05-30
Published in Print: 2012-June
© 2012 by Walter de Gruyter Berlin Boston
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Keywords for this article
Weighted composition operators followed by differentiation;
weighted Banach spaces of holomorphic functions
Articles in the same Issue
- Masthead
- Boundedness of the parametric Marcinkiewicz integral operator and its commutators on generalized Morrey spaces
- Modules that have a supplement in every cofinite extension
- Boundary value problems of statics of the elastic mixture theory
- On grand Lorentz spaces and the maximal operator
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- Continuous Hu cohomology
- Convergence and existence results for best C-proximity points
- Aspects of slice stability in locale theory
- On the irreducibility of Hurwitz spaces of coverings with two special fibers
- Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions
