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2012 Composition operators from Nevanlinna type spaces to Bloch type spaces
Ajay K. Sharma, Sei-Ichiro Ueki
Banach J. Math. Anal. 6(1): 112-123 (2012). DOI: 10.15352/bjma/1337014669

Abstract

Let $X$ and $Y$ be complete metric spaces of analytic functions over the unit disk in the complex plane. A linear operator $T: X \to Y$ is a bounded operator with respect to metric balls if $T$ takes every metric ball in $X$ into a metric ball in $Y$. We also say that $T$ is metrically compact if it takes every metric ball in $X$ into a relatively compact subset in $Y$. In this paper we will consider these properties for composition operators from Nevanlinna type spaces to Bloch type spaces.

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Ajay K. Sharma. Sei-Ichiro Ueki. "Composition operators from Nevanlinna type spaces to Bloch type spaces." Banach J. Math. Anal. 6 (1) 112 - 123, 2012. https://doi.org/10.15352/bjma/1337014669

Information

Published: 2012
First available in Project Euclid: 14 May 2012

zbMATH: 1269.47024
MathSciNet: MR2862547
Digital Object Identifier: 10.15352/bjma/1337014669

Subjects:
Primary: 47B33
Secondary: 30H15 , 30H30

Keywords: Bloch type spaces , Composition operators , Nevanlinna type spaces

Rights: Copyright © 2012 Tusi Mathematical Research Group

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Vol.6 • No. 1 • 2012
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