Taiwanese Journal of Mathematics

Difference of Weighted Composition Operators on the Space of Cauchy Integral Transforms

Xin Guo and Maofa Wang

Full-text: Open access

Abstract

In this paper, we provide a complete function theoretic characterizations for boundedness and compactness of difference of weighted composition operators from the space of Cauchy integral transforms to logarithmic weighted-type spaces. Surprisingly, an interesting feature of these characterizations is that they are free from pseudo-hyperbolic distance between $\varphi(z)$ and $\psi(z)$, which is different from the previous characterizations of difference of weighted composition operators acting between different holomorphic function spaces.

Article information

Source
Taiwanese J. Math., Volume 22, Number 6 (2018), 1435-1450.

Dates
Received: 27 August 2017
Accepted: 15 April 2018
First available in Project Euclid: 20 April 2018

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1524211307

Digital Object Identifier
doi:10.11650/tjm/180404

Mathematical Reviews number (MathSciNet)
MR3878576

Zentralblatt MATH identifier
07021698

Subjects
Primary: 47B33: Composition operators
Secondary: 30D55 46E15: Banach spaces of continuous, differentiable or analytic functions

Keywords
difference of weighted composition operator space of Cauchy integral transform logarithmic weighted-type space

Citation

Guo, Xin; Wang, Maofa. Difference of Weighted Composition Operators on the Space of Cauchy Integral Transforms. Taiwanese J. Math. 22 (2018), no. 6, 1435--1450. doi:10.11650/tjm/180404. https://projecteuclid.org/euclid.twjm/1524211307


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