Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces

被引：2
|
作者：
Hammond, Christopher [1 ]
Patton, Linda J. [2 ]
机构：
[1] Connecticut Coll, Dept Math, Box 5384,270 Mohegan Ave, New London, CT 06320 USA
[2] Calif Polytech State Univ San Luis Obispo, Dept Math, San Luis Obispo, CA 93407 USA
来源：
TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1 | 2010年 / 202卷
关键词：
Composition operator; operator norm; Hardy space; weighted Bergman spaces; Schur product; FRACTIONAL COMPOSITION OPERATORS; SUBNORMALITY; ADJOINT; SYMBOL; H-2;
D O I：
10.1007/978-3-0346-0158-0_13
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Any analytic self-map of the open unit disk induces a bounded composition operator on the Hardy space H-2 and on the standard weighted Bergman spaces A(alpha)(2). For a particular self-map, it is reasonable to wonder whether there is any meaningful relationship between the norms of the corresponding operators acting on each of these spaces. In this paper, we demonstrate an inequality which, at least to a certain degree, provides an answer to this question.
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页码：265 / +
页数：2
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