Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2022; 37(1): 195-205

Online first article September 10, 2021      Printed January 31, 2022

https://doi.org/10.4134/CKMS.c210029

Copyright © The Korean Mathematical Society.

Ascent and descent of composition operators on Lorentz spaces

Daljeet Singh Bajaj, Gopal Datt

University of Delhi; University of Delhi

Abstract

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In this paper, we provide various characterizations for the composition operator on Lorentz spaces $L(p,q)$, $1

Keywords: Composition operator, non-singular transformation, Radon-Nikodym derivative, Lorentz spaces

MSC numbers: Primary 47B33, 47B38; Secondary 46E30, 46E35

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