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Ascent and descent of composition operators on Lorentz spaces
Daljeet Singh Bajaj,Gopal Datt 대한수학회 2022 대한수학회논문집 Vol.37 No.1
In this paper, we provide various characterizations for the composition operator on Lorentz spaces $L(p,q)$, $1<p\le \infty$, $1\le q\le\infty$ to have finite ascent (descent) in terms of its inducing measurable transformation. At the end, in order to demonstrate our outcomes, some examples are given.