Weighted composition operators between Lorentz spaces

Ching On Lo; Anthony Wai Keung Loh

doi:10.1017/s0004972720001380

Weighted composition operators between Lorentz spaces

Division of Science, Engineering and Health Studies (SEHS)

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

1 Citation (Scopus)

Abstract

We investigate the boundedness, compactness, invertibility and Fredholmness of weighted composition operators between Lorentz spaces. It is also shown that the classes of Fredholm and invertible weighted composition maps between Lorentz spaces coincide when the underlying measure space is nonatomic.

Original language	English
Pages (from-to)	493-505
Number of pages	13
Journal	Bulletin of the Australian Mathematical Society
Volume	103
Issue number	3
DOIs	https://doi.org/10.1017/s0004972720001380
Publication status	Published - 18 Dec 2020

Keywords

Lorentz spaces
composition operators
weighted composition operators

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10.1017/s0004972720001380

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title = "Weighted composition operators between Lorentz spaces",

abstract = "We investigate the boundedness, compactness, invertibility and Fredholmness of weighted composition operators between Lorentz spaces. It is also shown that the classes of Fredholm and invertible weighted composition maps between Lorentz spaces coincide when the underlying measure space is nonatomic.",

keywords = "Lorentz spaces, composition operators, weighted composition operators",

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

note = "Publisher Copyright: {\textcopyright} 2020 Australian Mathematical Publishing Association Inc.",

year = "2020",

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day = "18",

doi = "10.1017/s0004972720001380",

language = "English",

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T1 - Weighted composition operators between Lorentz spaces

AU - Lo, Ching On

AU - Loh, Anthony Wai Keung

PY - 2020/12/18

Y1 - 2020/12/18

N2 - We investigate the boundedness, compactness, invertibility and Fredholmness of weighted composition operators between Lorentz spaces. It is also shown that the classes of Fredholm and invertible weighted composition maps between Lorentz spaces coincide when the underlying measure space is nonatomic.

AB - We investigate the boundedness, compactness, invertibility and Fredholmness of weighted composition operators between Lorentz spaces. It is also shown that the classes of Fredholm and invertible weighted composition maps between Lorentz spaces coincide when the underlying measure space is nonatomic.

KW - Lorentz spaces

KW - composition operators

KW - weighted composition operators

UR - https://www.scopus.com/pages/publications/85098211474

UR - https://www.mendeley.com/catalogue/0b932465-39a1-37a1-831b-47be7962f566/

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DO - 10.1017/s0004972720001380

M3 - Article

AN - SCOPUS:85098211474

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VL - 103

SP - 493

EP - 505

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 3

ER -

Weighted composition operators between Lorentz spaces

Abstract

Keywords

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