Weighted composition operators on bicomplex Lorentz spaces with their characterization and properties

Eryılmaz İ.

DEMONSTRATIO MATHEMATICA, cilt.58, sa.1, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1515/dema-2025-0139
  • Dergi Adı: DEMONSTRATIO MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Linguistic Bibliography, MathSciNet, zbMATH, Directory of Open Access Journals
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

This article presents a characterization of non-singular measurable transformation, denoted as T, mapping from Omega to itself, along with bicomplex-valued BC-measurable function u defined on Omega, which induces a weighted composition operator. The study then proceeds to fully identify their D-compactness and D-closedness within the range of bicomplex Lorentz spaces denoted as L (BC)(p q), Omega, , M theta theta( ), where ( Omega, , M theta ) represents a sigma-finite complete BC-measure space, theta = + theta 1e1 theta 2e2 is a BC-measure, and the parameters satisfy 1 < <=infinity p , 1 <= <=infinity