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Class A composition operators on H-2

Title
Class A composition operators on H-2
Authors
Jung, SungeunKo, Eungil
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
2016
Journal Title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN
0022-247XJCR Link1096-0813JCR Link
Citation
vol. 435, no. 1, pp. 461 - 476
Keywords
Composition operatorClass A operatorHyponormal operatorDenjoy-Wolff point
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
In this paper, we study class A composition operators C-phi on the Hardy space H-2. We show that if C-phi belongs to class A, then 0 is a fixed point of the symbol phi As a corollary, we obtain that every invertible class A composition operator is unitary. Moreover, we examine spectral properties and the commutants of class A composition operators. We also prove that if phi is a linear fractional self-map of ID into itself, then C-phi belongs to class A if and only if it is subnormal. Finally, we provide some conditions under which C-phi* belongs to class A. (C) 2015 Elsevier Inc. All rights reserved.
DOI
10.1016/j.jmaa.2015.10.045
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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