Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2007; 44(4): 701-708

Printed December 1, 2007

Copyright © The Korean Mathematical Society.

Weighted composition operators on Lorentz spaces

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