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Matematicheskie Zametki, 2019, Volume 105, Issue 6, Pages 816–823
DOI: https://doi.org/10.4213/mzm11976 (Mi mzm11976) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Composition Operator on Mixed-Norm Lebesgue Spaces

N. A. Evseevabc, A. V. Menovshchikovcb

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 (503 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11976
Abstract: It is known that the boundedness of the composition operator on Lebesgue spaces is equivalent to the integrability of the volume derivative of the measurable mapping inducing the given operator. In the present paper, we prove a similar result for mixed-norm Lebesgue spaces in the class of mappings preserving the priority of the variables.
Keywords: composition operator, mixed-norm Lebesgue spaces, measurable mappings.
Funding agency Grant number
Russian Science Foundation 16-41-02004
This work was carried out at RUDN University and supported by the Russian Science Foundation under grant 16-41-02004.
Received: 21.02.2018
Revised: 17.06.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 6, Pages 812–817
DOI: https://doi.org/10.1134/S0001434619050195
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: N. A. Evseev, A. V. Menovshchikov, “The Composition Operator on Mixed-Norm Lebesgue Spaces”, Mat. Zametki, 105:6 (2019), 816–823; Math. Notes, 105:6 (2019), 812–817
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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