Closed range weighted composition operators between Lp-spaces

Ching On Lo; Anthony Wai Keung Loh

doi:10.7494/OPMATH.2021.41.5.649

Closed range weighted composition operators between L^p-spaces

Division of Science, Engineering and Health Studies (SEHS)

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

1 Citation (Scopus)

Abstract

We characterize the closedness of ranges of weighted composition operators between Lp-spaces, where 1 ≤ p ≤ ∞. When the Lp-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.

Original language	English
Pages (from-to)	649-665
Number of pages	17
Journal	Opuscula Mathematica
Volume	41
Issue number	5
DOIs	https://doi.org/10.7494/OPMATH.2021.41.5.649
Publication status	Published - Oct 2021

Keywords

Closed range
Lebesgue space
Weighted composition operator

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10.7494/OPMATH.2021.41.5.649

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title = "Closed range weighted composition operators between Lp-spaces",

abstract = "We characterize the closedness of ranges of weighted composition operators between Lp-spaces, where 1 ≤ p ≤ ∞. When the Lp-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.",

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AU - Loh, Anthony Wai Keung

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AB - We characterize the closedness of ranges of weighted composition operators between Lp-spaces, where 1 ≤ p ≤ ∞. When the Lp-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.

KW - Closed range

KW - Lebesgue space

KW - Weighted composition operator

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Closed range weighted composition operators between L^p-spaces

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Keywords

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