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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 3, Pages 615–638
DOI: https://doi.org/10.1070/IM1976v010n03ABEH001723 (Mi im2156) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Imbedding theorems and geometric inequalities

V. S. Klimov
English version PDF (1142 kB) Citations (12)
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DOI: https://doi.org/10.1070/IM1976v010n03ABEH001723
Abstract: Imbedding theorems for Sobolev spaces with a symmetric norm are established. In particular, the results obtained lead to new imbedding theorems for Orlich–Sobolev spaces. The proof of the basic results is based on geometric inequalities of the type of the classical Brunn–Minkovskii inequality.
Bibliography: 30 titles.
Received: 27.02.1975
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1976, Volume 40, Issue 3, Pages 645–671
Bibliographic databases:
UDC: 513.881+517.5
MSC: Primary 46E30, 46E35; Secondary 52A40
Language: English
Original paper language: Russian
Citation: V. S. Klimov, “Imbedding theorems and geometric inequalities”, Izv. Akad. Nauk SSSR Ser. Mat., 40:3 (1976), 645–671; Math. USSR-Izv., 10:3 (1976), 615–638
Citation in format AMSBIB
\Bibitem{Kli76}
\by V.~S.~Klimov
\paper Imbedding theorems and geometric inequalities
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1976
\vol 40
\issue 3
\pages 645--671
\mathnet{http://mi.mathnet.ru/im2156}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=420250}
\zmath{https://zbmath.org/?q=an:0332.46022}
\transl
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 3
\pages 615--638
\crossref{https://doi.org/10.1070/IM1976v010n03ABEH001723}
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  • https://doi.org/10.1070/IM1976v010n03ABEH001723
  • https://www.mathnet.ru/eng/im/v40/i3/p645
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:520
    Russian version PDF:164
    English version PDF:15
    References:73
    First page:1
     
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