Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions

Let Φ be an analytic self-map of the open unit disk D in the complex plane. Such a map induces through composition a linear composition operator CΦ : f ↦ f◦Φ.We are interested in the combination of CΦ with the differentiation operator D, that is in the operator DCΦ : f ↦ Φ` · (f ◦ Φ) acting between...

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Main Author:	Wolf Elke
Format:	Article
Language:	English
Published:	Sciendo 2014-10-01
Series:	Acta Universitatis Sapientiae: Mathematica
Subjects:	composition operator differentiation operator weighted bergman spaces weighted banach spaces of holomorphic functions
Online Access:	https://doi.org/10.2478/ausm-2014-0021

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spelling	doaj-fafab29643b846079e8dcee577a3aaf22021-09-06T19:41:26ZengSciendoActa Universitatis Sapientiae: Mathematica2066-77522014-10-016110711610.2478/ausm-2014-0021ausm-2014-0021Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functionsWolf Elke0University of Paderborn Mathematical Institute D-33095Paderborn, GermanyLet Φ be an analytic self-map of the open unit disk D in the complex plane. Such a map induces through composition a linear composition operator CΦ : f ↦ f◦Φ.We are interested in the combination of CΦ with the differentiation operator D, that is in the operator DCΦ : f ↦ Φ` · (f ◦ Φ) acting between weighted Bergman spaces and weighted Banach spaces of holomorphic functionshttps://doi.org/10.2478/ausm-2014-0021composition operatordifferentiation operatorweighted bergman spacesweighted banach spaces of holomorphic functions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wolf Elke
spellingShingle	Wolf Elke Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions Acta Universitatis Sapientiae: Mathematica composition operator differentiation operator weighted bergman spaces weighted banach spaces of holomorphic functions
author_facet	Wolf Elke
author_sort	Wolf Elke
title	Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
title_short	Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
title_full	Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
title_fullStr	Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
title_full_unstemmed	Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
title_sort	composition followed by differentiation between weighted bergman spaces and weighted banach spaces of holomorphic functions
publisher	Sciendo
series	Acta Universitatis Sapientiae: Mathematica
issn	2066-7752
publishDate	2014-10-01
description	Let Φ be an analytic self-map of the open unit disk D in the complex plane. Such a map induces through composition a linear composition operator CΦ : f ↦ f◦Φ.We are interested in the combination of CΦ with the differentiation operator D, that is in the operator DCΦ : f ↦ Φ` · (f ◦ Φ) acting between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
topic	composition operator differentiation operator weighted bergman spaces weighted banach spaces of holomorphic functions
url	https://doi.org/10.2478/ausm-2014-0021
work_keys_str_mv	AT wolfelke compositionfollowedbydifferentiationbetweenweightedbergmanspacesandweightedbanachspacesofholomorphicfunctions
_version_	1717766293177761792

Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions

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