scholarly journals Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball

2007 ◽  
Vol 2007 (1) ◽  
pp. 061313 ◽  
Author(s):  
Ze-Hua Zhou ◽  
Cheng Yuan
Keyword(s):  
Hardy Space ◽  
Unit Ball ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Hardy Space ◽  
Weighted Composition

Composition Operators Induced by Analytic Maps to the Polydisk

2012 ◽  
Vol 64 (6) ◽  
pp. 1329-1340 ◽  
Author(s):  
Kei Ji Izuchi ◽  
Quang Dieu Nguyen ◽  
Shûichi Ohno
Keyword(s):  
Hardy Space ◽  
Unit Disk ◽  
Bergman Space ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Analytic Maps

Abstract We study properties of composition operators induced by symbols acting from the unit disk to the polydisk. This result will be involved in the investigation of weighted composition operators on the Hardy space on the unit disk and, moreover, be concerned with composition operators acting from the Bergman space to the Hardy space on the unit disk.

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