Weighted composition operators on weighted Lorentz-Karamata spaces

Eryılmaz İ.

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, sa.1, ss.111-119, 2012 (ESCI) identifier

  • 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.