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2014 New estimate of essential norm of composition followed by differentiation between Bloch-type spaces
Yu-Xia Liang, Ze-Hua Zhou
Banach J. Math. Anal. 8(1): 118-137 (2014). DOI: 10.15352/bjma/1381782092

Abstract

We give a new characterization for the boundedness of composition operator followed by differentiation operator acting on Bloch-type spaces and calculate its essential norm in terms of the $n$-th power of the induced analytic self-map on the unit disk. From which some sufficient and necessary conditions of compactness of the operator follow immediately.

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Yu-Xia Liang. Ze-Hua Zhou. "New estimate of essential norm of composition followed by differentiation between Bloch-type spaces." Banach J. Math. Anal. 8 (1) 118 - 137, 2014. https://doi.org/10.15352/bjma/1381782092

Information

Published: 2014
First available in Project Euclid: 14 October 2013

zbMATH: 1323.47041
MathSciNet: MR3161687
Digital Object Identifier: 10.15352/bjma/1381782092

Subjects:
Primary: 47B38
Secondary: 26A24, 32H02, 47B33

Rights: Copyright © 2014 Tusi Mathematical Research Group

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