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A note on weighted composition operators on measurable functionspaces
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Abstract
In this paper we will consider the weighted composition operators W = uCτ between Lp(X,Σ, µ) spaces and Orlicz spaces Lϕ(X,Σ, µ), generated by measurable and non-singular transformations τ from X into itself and measurable functions u on X. We characterize the functions u and transformations τ that induce weighted composition operators between Lp-spaces by using some properties of conditional expectation operator, pair (u, τ) and the measure space (X,Σ, µ). Also, some other properties of these types of operators will be investigated.
참고문헌 (8)
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- B. S. Komal, "Multiplication operators on Orlicz spaces", 41, pp.324~330 (2001)
- R. Kumar, "Composition operators on Orlicz spaces", 29, pp.1722~ (1997)
- A. Lambert, "Localising sets for sigma-algebras and related point transformations" (1991)
- M.M.RaoandZ.D.Ren, "Theory of Orlicz spaces" (1991), Inc. New York
- R. K. Singh, "Composition operators induced by rational functions", 59 (1976)
- H. Takagi, "Multiplication and composition operators betweentwo Lp-spaces", 232, pp.321~338 (1999)
관련 논문AI추천
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