scholarly journals Complex symmetric weighted composition operators on weighted Hardy space

2022 ◽  
Vol 13 (1) ◽  
pp. 39-49
Author(s):  
Aastha Malhotra ◽  
Anuradha Gupta
Keyword(s):  
Hardy Space ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Hardy Space ◽  
Weighted Composition ◽  
Complex Symmetric

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.

Complex symmetry of weighted composition operators in several variables

2016 ◽  
Vol 27 (02) ◽  
pp. 1650017 ◽  
Author(s):  
Maofa Wang ◽  
Xingxing Yao
Keyword(s):  
Composition Operators ◽  
Weighted Composition Operator ◽  
Weighted Composition Operators ◽  
General Function ◽  
Higher Dimensional ◽  
Weighted Composition ◽  
Complex Symmetric ◽  
Symmetric Operators ◽  
Funct Anal ◽  
General Function Space

In this paper, we investigate analytic symbols [Formula: see text] and [Formula: see text] when the weighted composition operator [Formula: see text] is complex symmetric on general function space [Formula: see text]. As applications, we characterize completely the compactness, normality and isometry of complex symmetric weighted composition operators. Especially, we show that the equivalence of compactness and Hilbert–Schmidtness, and the existence of non-normal complex symmetric operators for such operators, which answers one open problem raised by Noor in [On an example of a complex symmetric composition operators on [Formula: see text], J. Funct. Anal. 269 (2015) 1899–1901] for higher dimensional case.

Sign in / Sign up

Export Citation Format

Share Document