Weighted Composition Operators from the Besov Spaces into the Bloch Spaces

Let ... be an analytic self-map of the open unit disk ... in the complex plane ... and let ... be a fixed analytic function on ... The weighted composition operator is defined on the space ... of analytic functions on ... by ... In this work, we characterize the bounded and the compact weighted comp...

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Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 36; no. 4
Main Authors Colonna, Flavia, Li, Songxiao
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.01.2013
Subjects
Mathematics
Online AccessGet full text
ISSN0126-6705
2180-4206

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Abstract Let ... be an analytic self-map of the open unit disk ... in the complex plane ... and let ... be a fixed analytic function on ... The weighted composition operator is defined on the space ... of analytic functions on ... by ... In this work, we characterize the bounded and the compact weighted composition operators from the Besov spaces ... (1< ... >\infty) into the Bloch space as well as into the little Bloch space. 2010 Mathematics Subject Classification: Primary: 47B33, Secondary: 30H30 (ProQuest: ... denotes formulae omitted.)
AbstractList Let ... be an analytic self-map of the open unit disk ... in the complex plane ... and let ... be a fixed analytic function on ... The weighted composition operator is defined on the space ... of analytic functions on ... by ... In this work, we characterize the bounded and the compact weighted composition operators from the Besov spaces ... (1< ... >\infty) into the Bloch space as well as into the little Bloch space. 2010 Mathematics Subject Classification: Primary: 47B33, Secondary: 30H30 (ProQuest: ... denotes formulae omitted.)
Author Li, Songxiao
Colonna, Flavia
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