Composition followed by differentiation from H ∞ and the Bloch space to nth weighted-type spaces on the unit disk

The boundedness and compactness of the product of the differentiation and composition operator from the space of bounded analytic functions, the Bloch space and the little Bloch space to nth weighted-type spaces on the unit disk are characterized.

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 216; no. 12; pp. 3450 - 3458
Main Author:	STEVIC, Stevo
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15-08-2010 Elsevier
Subjects:	Boundedness Compactness Composition operator Differentiation operator Exact sciences and technology Functions of a complex variable Global analysis, analysis on manifolds Mathematical analysis Mathematics nth weighted-type spaces Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use Several complex variables and analytic spaces Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds nth weighted-type spaces Differentiation operator Compactness Composition operator Boundedness Numerical analysis Applied mathematics Analytical function
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Description
Summary:	The boundedness and compactness of the product of the differentiation and composition operator from the space of bounded analytic functions, the Bloch space and the little Bloch space to nth weighted-type spaces on the unit disk are characterized.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2010.03.117