Ascent and Descent of Composition Operators on Lorentz spaces
Commun. Korean Math. Soc.
Published online September 10, 2021
Daljeet Singh Bajaj and Gopal Datt
University of Delhi; University of Delhi
Abstract : Measurable transformations are characterized in the paper for the induced composition operators
on Lorentz spaces $L(p,q)$, $1<p\le \infty$, $1\le q\le\infty$, to have finite ascent (descent).
Keywords : Composition operator, Non-singular transformation, Radon-Nikodym derivative, Lorentz spaces
MSC numbers : Primary: 47B33,47B38; Secondary: 46E30, 46E35
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