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Mat. Zametki, 2017, Volume 102, Issue 6, Pages 836–843 (Mi mz11586)  
This article is cited in 1 scientific paper (total in 1 paper)

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.

Funding Agency Grant Number
Russian Science Foundation 16-41-02004
This work was carried out at the Peoples' Friendship University of Russia and supported by the Russian Science Foundation under grant 16-41-02004.


DOI: https://doi.org/10.4213/mzm11586

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

Bibliographic databases:

UDC: 517
Received: 16.03.2017
Revised: 30.03.2017

Citation: N. A. Evseev, “Bounded Composition Operator on Lorentz Spaces”, Mat. Zametki, 102:6 (2017), 836–843; Math. Notes, 102:6 (2017), 763–769

Citation in format AMSBIB
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\paper Bounded Composition Operator on Lorentz Spaces
\jour Mat. Zametki
\yr 2017
\vol 102
\issue 6
\pages 836--843
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\crossref{https://doi.org/10.4213/mzm11586}
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\transl
\jour Math. Notes
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\vol 102
\issue 6
\pages 763--769
\crossref{https://doi.org/10.1134/S0001434617110153}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. N. A. Evseev, A. V. Menovshchikov, “The Composition Operator on Mixed-Norm Lebesgue Spaces”, Math. Notes, 105:6 (2019), 812–817  mathnet  crossref  crossref  isi  elib
    		• Математические заметки Mathematical Notes
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