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DERIVATIVE-FREE CHARACTERIZATIONS OF COMPACT GENERALIZED COMPOSITION OPERATORS BETWEEN ZYGMUND TYPE SPACES

Part of: Linear function spaces and their duals Special classes of linear operators

Published online by Cambridge University Press:  17 March 2010

MIKAEL LINDSTRÖM  and
AMIR H. SANATPOUR
MIKAEL LINDSTRÖM*
Affiliation:
Department of Mathematical Sciences, University of Oulu, 90014 Oulu, Finland (email: mikael.lindstrom@oulu.fi)
AMIR H. SANATPOUR
Affiliation:
Department of Mathematics, Tarbiat Moallem University, 599 Taleghani Avenue, 15618 Tehran, Iran (email: a_sanatpour@tmu.ac.ir)
*
✉For correspondence; e-mail: mikael.lindstrom@oulu.fi
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Abstract

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We give derivative-free characterizations for bounded and compact generalized composition operators between (little) Zygmund type spaces. To obtain these results, we extend Pavlović’s corresponding result for bounded composition operators between analytic Lipschitz spaces.

Keywords

Zygmund spacesLipschitz spacesweighted composition operatorsgeneralized composition operators

MSC classification

Secondary: 47B38: Operators on function spaces (general) 46E15: Banach spaces of continuous, differentiable or analytic functions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 3 , June 2010 , pp. 398 - 408
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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