COMPACT WEIGHTED COMPOSITION OPERATORS BETWEEN -SPACES
| Autor: | Ching-On Lo, Anthony Wai-keung Loh |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics 0102 computer and information sciences Composition (combinatorics) Compact operator Space (mathematics) 01 natural sciences Measure (mathematics) Compact space Operator (computer programming) Corollary 010201 computation theory & mathematics 0101 mathematics Lp space Mathematics |
| Zdroj: | Bulletin of the Australian Mathematical Society. 102:151-161 |
| ISSN: | 1755-1633 0004-9727 |
| DOI: | 10.1017/s000497271900159x |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|