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An elementary proof of the Brezis and Mironescu theorem on the composition operator in 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 evolution equations (Printed ed.), ISSN 1424-3199, E-ISSN 1424-3202, Vol. 2, no 1, 113-125 p.Article in journal (Refereed) Published
Abstract [en]

An elementary proof of the Brezis and Mironescu theorem on the boundedness and continuity of the composition operator: Ws,P(Rn) n W1,sp(Rn) ? Ws,p(Rn) is given. The proof includes the case p = 1.

Place, publisher, year, edition, pages
2002. Vol. 2, no 1, 113-125 p.
Keyword [en]
Composition operator, Fractional Sobolev spaces, Gagliardo-Nirenberg inequalities, Pointwise interpolation inequalities
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-46832DOI: 10.1007/s00028-002-8082-1OAI: oai:DiVA.org:liu-46832DiVA: diva2:267728
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2010-11-12

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Maz´ya, Vladimir G.Shaposhnikova, Tatyana

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