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 Weighted composition operators on Lorentz spaces Bull. Korean Math. Soc. 2007 Vol. 44, No. 4, 701-708 Published online December 1, 2007 Subhash Chander Arora, Gopal Datt, and Satish Verma University of Delhi, University of Delhi, University of Delhi Abstract : In this paper we characterize the boundedness, compactness and closedness of the range of the weighted composition operators on Lorentz spaces $L(p, q)$, $1< p \leq \infty$, $1 \leq q \leq \infty$. Keywords : distribution function, Lorentz space, multiplication operator, non-increasing rearrangement, weighted composition operator MSC numbers : Primary 47B33, 47B38; Secondary 46E30 Downloads: Full-text PDF