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On Fournier-Gagliardo mixed norm spaces
Karlstad University, Faculty of Technology and Science, Department of Mathematics. (Matematik)
Karlstad University, Faculty of Technology and Science, Department of Mathematics. (Matematik)ORCID iD: 0000-0001-5459-0796
2011 (English)In: Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, Vol. 36, 493-508 p.Article in journal (Refereed) Published
Abstract [en]

We study mixed norm spaces

V (Rn)

that arise in connection with embeddings of

Sobolev spaces

W

1

1

(Rn). We prove embeddings of V (Rn)

into Lorentz type spaces defined in terms

of iterative rearrangements. Basing on these results, we introduce the scale of mixed norm spaces

V

p

(Rn). We prove that V ½ V p

and we discuss some questions related to this embedding.

Place, publisher, year, edition, pages
Helsinki: Finnish Academy of Science and Letters , 2011. Vol. 36, 493-508 p.
Keyword [en]
Mixed norms; rearrangements, embeddings, Sobolev spaces
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:kau:diva-11683DOI: 10.5186/aasfm.2011.3624ISI: 000295069400008OAI: oai:DiVA.org:kau-11683DiVA: diva2:503638
Available from: 2012-02-16 Created: 2012-02-16 Last updated: 2016-04-08Bibliographically approved

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