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WEIGHTED COMPOSITION OPERATORS BETWEEN LORENTZ SPACES

Published online by Cambridge University Press:  18 December 2020

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

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.

Type
Research Article
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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