Bounded composition operator on Lorentz spaces


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Abstract

We study composition operators on Lorentz spaces. In particular, we obtain necessary and sufficient conditions under which a measurable mapping induces a bounded composition operator.

About the authors

N. A. Evseev

Sobolev Institute of Mathematics; Novosibirsk State University; Peoples’ Friendship University of Russia

Author for correspondence.
Email: evseev@math.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk; Moscow

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