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WEIGHTED COMPOSITION OPERATORS ON LORENTZ SPACES

  • Arora, Subhash Chander (DEPARTMENT OF MATHEMATICS UNIVERSITY OF DELHI) ;
  • Datt, Gopal (DEPARTMENT OF MATHEMATICS PGDAV COLLEGE UNIVERSITY OF DELHI) ;
  • Verma, Satish (DEPARTMENT OF MATHEMATICS SGTB KHALSA COLLEGE UNIVERSITY OF DELHI)
  • Published : 2007.11.30

Abstract

In this paper we characterize the boundedness, compactness and closedness of the range of the weighted composition operators on Lorentz spaces L(p,q), $1.

Keywords

distribution function;Lorentz space;multiplication operator;non-increasing rearrangement;weighted composition operator

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  1. Injective composition operators on Lorentz–Bochner spaces vol.46, pp.4, 2013, https://doi.org/10.1515/dema-2013-0488
  2. Operators on Weighted Lorentz–Karamata–Bochner Spaces vol.39, pp.2, 2018, https://doi.org/10.1134/S1995080218020075
  3. Weighted composition operators induced by strongly measurable functions pp.2190-7668, 2018, https://doi.org/10.1007/s13370-018-0596-y