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    STUDIA MATHEMATICA - Issue no. 1 / 2012  
         
  Article:   WEIGHTED COMPOSITION OPERATORS ON WEIGHTED LORENTZ-KARAMATA SPACES.

Authors:  .
 
       
         
  Abstract:  

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 Lwp,q;b (X, S, μ) are completely identified where (X, S, μ) is a s−finite measure space and 1 < p £ ¥, 1 £ q £ ¥.

Mathematics Subject Classification (2010): 47B33, 47B38, 46E30, 26A12.

Keywords: Weighted Lorentz Karamata space, weighted composition operator, Multiplication operator.

 
         
     
         
         
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