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COMPACT WEIGHTED COMPOSITION OPERATORS BETWEEN $L^{p}$-SPACES
Published online by Cambridge University Press: 16 January 2020
Abstract
We provide complete characterisations for the compactness of weighted composition operators between two distinct $L^{p}$-spaces, where $1\leq p\leq \infty$. As a corollary, when the underlying measure space is nonatomic, the only compact weighted composition map between $L^{p}$-spaces is the zero operator.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 102 , Issue 1 , August 2020 , pp. 151 - 161
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
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