Compact weighted composition operators between Lp-spaces

Ching On Lo; Anthony Wai Keung Loh

doi:10.1017/S000497271900159X

Compact weighted composition operators between L^p-spaces

Division of Science, Engineering and Health Studies (SEHS)

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

4 Citations (Scopus)

Abstract

We provide complete characterisations for the compactness of weighted composition operators between two distinct L^p-spaces, where. As a corollary, when the underlying measure space is nonatomic, the only compact weighted composition map between -spaces is the zero operator.

Original language	English
Pages (from-to)	151-161
Number of pages	11
Journal	Bulletin of the Australian Mathematical Society
Volume	102
Issue number	1
DOIs	https://doi.org/10.1017/S000497271900159X
Publication status	Published - 1 Aug 2020

Keywords

Compact operators
Lebesgue spaces
Weighted composition operators

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10.1017/S000497271900159X

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title = "Compact weighted composition operators between Lp-spaces",

abstract = "We provide complete characterisations for the compactness of weighted composition operators between two distinct Lp-spaces, where. As a corollary, when the underlying measure space is nonatomic, the only compact weighted composition map between -spaces is the zero operator. ",

keywords = "Compact operators, Lebesgue spaces, Weighted composition operators",

author = "Lo, \{Ching On\} and Loh, \{Anthony Wai Keung\}",

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year = "2020",

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doi = "10.1017/S000497271900159X",

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AB - We provide complete characterisations for the compactness of weighted composition operators between two distinct Lp-spaces, where. As a corollary, when the underlying measure space is nonatomic, the only compact weighted composition map between -spaces is the zero operator.

KW - Compact operators

KW - Lebesgue spaces

KW - Weighted composition operators

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DO - 10.1017/S000497271900159X

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SP - 151

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Compact weighted composition operators between L^p-spaces

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