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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 190, Pages 5–14 (Mi znsl4888)  
This article is cited in 2 scientific papers (total in 2 papers)

Sobolev spaces of vector-valued functions

A. V. Bukhvalov
Full-text PDF (512 kB) Citations (2)
Abstract: The generalizations of Sobolev spaces in the following two directions are considered in this work. First of all, instead of $L^p$-norm the norm of a rearrangement-invariant space is used. Secondly, the spaces of functions with values in some Banach space are investigated. For this spaces we decide the problem of their connection with the spaces of Bessel potentials.
English version:
Journal of Mathematical Sciences, 1994, Volume 71, Issue 1, Pages 2173–2179
DOI: https://doi.org/10.1007/BF02111291
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: A. V. Bukhvalov, “Sobolev spaces of vector-valued functions”, Investigations on linear operators and function theory. Part 19, Zap. Nauchn. Sem. LOMI, 190, Nauka, St. Petersburg, 1991, 5–14; J. Math. Sci., 71:1 (1994), 2173–2179
Citation in format AMSBIB
\Bibitem{Buk91}
\by A.~V.~Bukhvalov
\paper Sobolev spaces of vector-valued functions
\inbook Investigations on linear operators and function theory. Part~19
\serial Zap. Nauchn. Sem. LOMI
\yr 1991
\vol 190
\pages 5--14
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4888}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1111910}
\zmath{https://zbmath.org/?q=an:0827.46026|0769.46024}
\transl
\jour J. Math. Sci.
\yr 1994
\vol 71
\issue 1
\pages 2173--2179
\crossref{https://doi.org/10.1007/BF02111291}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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