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WEIGHTED COMPOSITION OPERATORS BETWEEN LORENTZ SPACES

Part of: Linear function spaces and their duals Special classes of linear operators

Published online by Cambridge University Press:  18 December 2020

CHING-ON LO Open the ORCID record for CHING-ON LO [Opens in a new window]  and
ANTHONY WAI-KEUNG LOH Open the ORCID record for ANTHONY WAI-KEUNG LOH [Opens in a new window]
CHING-ON LO*
Affiliation:
Division of Science, Engineering and Health Studies, College of Professional and Continuing Education, The Hong Kong Polytechnic University, Hong Kong
ANTHONY WAI-KEUNG LOH
Affiliation:
Division of Science, Engineering and Health Studies, College of Professional and Continuing Education, The Hong Kong Polytechnic University, Hong Kong e-mail: anthony.wk.loh@cpce-polyu.edu.hk
*
e-mail: co.lo@cpce-polyu.edu.hk
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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

composition operatorsLorentz spacesweighted composition operators

MSC classification

Primary: 47B33: Composition operators
Secondary: 46E30: Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 47B38: Operators on function spaces (general)

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 103 , Issue 3 , June 2021 , pp. 493 - 505
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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References

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