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Matematicheskie Zametki, 2017, Volume 102, Issue 6, Pages 836–843
DOI: https://doi.org/10.4213/mzm11586 (Mi mzm11586) 		 
This article is cited in 3 scientific papers (total in 3 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
Full-text PDF (484 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm11586
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.
Received: 16.03.2017
Revised: 30.03.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 6, Pages 763–769
DOI: https://doi.org/10.1134/S0001434617110153
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
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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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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