Difference of Weighted Composition Operators II

Boo Rim Choe; Koeun Choi; Hyungwoon Koo; Jongho Yang

doi:10.1007/s00020-021-02632-w

Difference of Weighted Composition Operators II

Boo Rim Choe, Koeun Choi, Hyungwoon Koo, Jongho Yang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In the setting of the unit disk we have recently obtained characterizations in terms of Carleson measures for bounded/compact differences of weighted composition operators acting from a standard weighted Bergman space into the corresponding weighted Lebesgue space. In this paper we extend those results to the case when the exponents of the domain space and the target space are different.

Original language	English
Article number	17
Journal	Integral Equations and Operator Theory
Volume	93
Issue number	2
DOIs	https://doi.org/10.1007/s00020-021-02632-w
Publication status	Published - 2021 Apr

Keywords

Bergman space
Boundedness
Carleson measure
Compactness
Difference
Weighted composition operator

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/s00020-021-02632-w

Cite this

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abstract = "In the setting of the unit disk we have recently obtained characterizations in terms of Carleson measures for bounded/compact differences of weighted composition operators acting from a standard weighted Bergman space into the corresponding weighted Lebesgue space. In this paper we extend those results to the case when the exponents of the domain space and the target space are different.",

keywords = "Bergman space, Boundedness, Carleson measure, Compactness, Difference, Weighted composition operator",

author = "Choe, {Boo Rim} and Koeun Choi and Hyungwoon Koo and Jongho Yang",

note = "Funding Information: B. R. Choe was supported by NRF(2018R1D1A1B07041183) of Korea, H. Koo was supported by NRF(2017R1A2B2002515) of Korea and J. Yang was supported by NRF(2017R1A6A3A11035180) of Korea. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

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AU - Choi, Koeun

AU - Koo, Hyungwoon

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AB - In the setting of the unit disk we have recently obtained characterizations in terms of Carleson measures for bounded/compact differences of weighted composition operators acting from a standard weighted Bergman space into the corresponding weighted Lebesgue space. In this paper we extend those results to the case when the exponents of the domain space and the target space are different.

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KW - Boundedness

KW - Carleson measure

KW - Compactness

KW - Difference

KW - Weighted composition operator

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JO - Integral Equations and Operator Theory

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ER -

Difference of Weighted Composition Operators II

Abstract

Keywords

ASJC Scopus subject areas

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