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Iterated rearrangements and Gagliardo-Sobolev type inequalities
Karlstad University, Faculty of Technology and Science, Department of Mathematics. (Matematik)ORCID iD: 0000-0001-5459-0796
2012 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, Vol. 387, no 1, 335-348 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we consider Lorentz type spaces defined in terms of iterated rearrangements of functions of several variables (σ is a permutation of {1,…,n}). Further, we study Fournier–Gagliardo mixed norm spaces V(Rn) closely related to Sobolev spaces . We prove estimate of via ‖fV with the sharp constant. In particular, this gives a refinement of the known Sobolev type inequalities for the space .

Place, publisher, year, edition, pages
Elsevier , 2012. Vol. 387, no 1, 335-348 p.
Keyword [en]
Rearrangements; Embeddings; Sharp constants; Mixed norms
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:kau:diva-15784DOI: 10.1016/j.jmaa.2011.08.077ISI: 000296115100027OAI: oai:DiVA.org:kau-15784DiVA: diva2:571968
Available from: 2012-11-26 Created: 2012-11-26 Last updated: 2016-04-08Bibliographically approved

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