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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.
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참고문헌 (8)
참고문헌 신청
A. Lambert / 1991 / Localising sets for sigma-algebras and related point transformations
B. S. Komal / 2001 / Multiplication operators on Orlicz spaces 41 : 324 ~ 330
H. Takagi / 1999 / Multiplication and composition operators betweentwo Lp-spaces 232 : 321 ~ 338
J. Ding / 1994 / A new approach to Frobenius-Perron operators 187
M.M.RaoandZ.D.Ren / 1991. / Theory of Orlicz spaces
B. S. Komal / 2001 / Multiplication operators on Orlicz spaces 41 : 324 ~ 330
H. Takagi / 1999 / Multiplication and composition operators betweentwo Lp-spaces 232 : 321 ~ 338
J. Ding / 1994 / A new approach to Frobenius-Perron operators 187
M.M.RaoandZ.D.Ren / 1991. / Theory of Orlicz spaces
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