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On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2002 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 195, no 2, p. 230-238Article in journal (Refereed) Published
Abstract [en]

The article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic behaviour of the norm of the Sobolev-type embedding operator: Ws,p ? Lpn/(n-sp) as s ? 1 and s ? n/p. Their result is extended to all values of s ? (0, 1) and is supplied with an elementary proof. The relation is proved. © 2002 Elsevier Science (USA).
Place, publisher, year, edition, pages
2002. Vol. 195, no 2, p. 230-238
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Engineering and Technology
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URN: urn:nbn:se:liu:diva-46860DOI: 10.1006/jfan.2002.3955OAI: oai:DiVA.org:liu-46860DiVA, id: diva2:267756
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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Maz´ya, Vladimir G.Shaposhnikova, Tatyana

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