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Weighted composition operators between $L^p$-spaces
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Abstract
In this paper we will consider the weighted compositionoperator W=uC_varphi between two different L^p(X,Sigma,mu) spaces, generated by measurable and non-singulartransformations varphi from X into itself and measurablefunctions u on X. We characterize the functions u andtransformations varphi that induce weighted compositionoperators between L^p-spaces by using some properties ofconditional expectation operator, pair (u,varphi) and themeasure space (X,Sigma,mu). Also, Fredholmness of these type operators will be investigated
참고문헌 (8)
- "Zero multipliers of Bergman spaces", 28, pp.237~ (1985)
- "On some classes of weightedcomposition operators", 32, pp.87~ (1990)
- "A note on weightedcomposition operators on L^p-spaces", 29, pp.47~54 (2003)
- "Multiplication operators betweenOrlicz spaces", 41, pp.324~330 (2001)
- "Localising sets for sigma-algebras and relatedpoint transformations", 118, pp.111~ (1991)
- H. Takagi, "Fredholm weighted composition operators", 16, pp.267~ (1993)
- "Multiplication and compositionoperators between two L^p-spaces", 232, pp.321~338 (1999)
- "introduction to functionalanalysis" (1980)
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