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This article is cited in 2 scientific papers (total in 2 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 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. DOI: https://doi.org/10.17377/smzh.2015.56.608   Full text:
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English version: Siberian Mathematical Journal, 2015, 56:6, Bibliographic databases:    
UDC: 517.518+517.54 Received: 02.07.2015 Citation: N. A. Evseev, “Composition operators in weighted Sobolev spaces on the Carnot group”, Sibirsk. Mat. Zh., 56:6 (2015), 
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Citing articles on Google Scholar: Russian citations, English citations Related articles on Google Scholar: Russian articles, English articles This publication is cited in the following articles:
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