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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2017 Volume 102, Issue 6, Pages 836–843 (Mi mzm11586)
This article is cited in 2 papers

Bounded Composition Operator on Lorentz Spaces

N. A. Evseevabc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
c Peoples Friendship University of Russia, Moscow

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.

Keywords: composition operator, Lorentz spaces, measurable mappings.

UDC: 517

Received: 16.03.2017
Revised: 30.03.2017

DOI: 10.4213/mzm11586


 English version: Mathematical Notes, 2017, 102:6, 763–769

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© Steklov Math. Inst. of RAS, 2024