Weighted composition operators on weighted Lorentz-Karamata spaces
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, sa.1, ss.111-119, 2012 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2012
- Dergi Adı: STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.111-119
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
In this paper, a characterization of the non-singular measurable transformations T from X into itself and complex-valued measurable functions u on X inducing weighted composition operators is obtained and subsequently their compactness and closedness of the range on the weighted Lorentz-Karamata spaces L-p,q;b(w) (X, Sigma, mu) are completely identified where (X, Sigma, mu) is a sigma-finite measure space and 1 < p <= infinity, 1 <= q <= infinity.