Bull. Korean Math. Soc. 2007; 44(4): 701-708
Printed December 1, 2007
Copyright © The Korean Mathematical Society.
Subhash Chander Arora, Gopal Datt, and Satish Verma
University of Delhi, University of Delhi, University of Delhi
In this paper we characterize the boundedness, compactness and closedness of the range of the weighted composition operators on Lorentz spaces $L(p, q)$, $1< p \leq \infty$, $1 \leq q \leq \infty$.
Keywords: distribution function, Lorentz space, multiplication operator, non-increasing rearrangement, weighted composition operator
MSC numbers: Primary 47B33, 47B38; Secondary 46E30
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