[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c210029

ASCENT AND DESCENT OF COMPOSITION OPERATORS ON LORENTZ SPACES

Bajaj, Daljeet Singh (Department of Mathematics University of Delhi)
Datt, Gopal (Department of Mathematics PGDAV College University of Delhi)

Publication Information

Communications of the Korean Mathematical Society / v.37, no.1, 2022 , pp. 195-205 More about this Journal

Abstract

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

Keywords

Composition operator; non-singular transformation; Radon-Nikodym derivative; Lorentz spaces;

Citations & Related Records

Reference

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