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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 4, Pages 864–878
(Mi smj1336)
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This article is cited in 9 scientific papers (total in 9 papers)
On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis
D. V. Prokhorov, V. D. Stepanov Computer Centre Far-Eastern Branch of RAS
Abstract:
We consider some Sobolev-type spaces and obtain a necessary and sufficient condition for their embedding in a Lebesgue space.
Keywords:
Sobolev space, weighted Lebesgue space, embedding theorem.
Received: 21.11.2001
Citation:
D. V. Prokhorov, V. D. Stepanov, “On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis”, Sibirsk. Mat. Zh., 43:4 (2002), 864–878; Siberian Math. J., 43:4 (2002), 694–707
Linking options:
https://www.mathnet.ru/eng/smj1336 https://www.mathnet.ru/eng/smj/v43/i4/p864
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