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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 6, Pages 1304–1325
DOI: https://doi.org/10.17377/smzh.2015.56.608 (Mi smj2714) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Composition operators in weighted Sobolev spaces on the Carnot group

N. A. Evseevab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (392 kB) Citations (5)
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DOI: https://doi.org/10.17377/smzh.2015.56.608
Abstract: We study the properties of the mappings inducing bounded change-of-variable operators in weighted Sobolev spaces on the Carnot group. We obtain an analytical description of these mappings in terms of integrability of the weighted distortion function. In some cases we prove that the mapping inducing a bounded operator is piecewise absolutely continuous on almost all horizontal lines.
Keywords: composition operator, weighted Sobolev space, Carnot group.
Received: 02.07.2015
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 6, Pages 1042–1059
DOI: https://doi.org/10.1134/S0037446615060087
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.54
Language: Russian
Citation: N. A. Evseev, “Composition operators in weighted Sobolev spaces on the Carnot group”, Sibirsk. Mat. Zh., 56:6 (2015), 1304–1325; Siberian Math. J., 56:6 (2015), 1042–1059
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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