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The Besikovitch Covering Theorem and Near Minimizers for the Couple (L2,BV)
Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM. (Matematisk modellering, vågor och signaler)
Department of Mathematics, Luleå University of Technology, Sweden.
2010 (English)In: Proceedings of the Estonian Academy of Sciences: Physics, Mathematics, ISSN 1406-0086, E-ISSN 2228-0685, Vol. 59, no 1, 29-33 p.Article in journal (Refereed) Published
Abstract [en]

Let Ω be a rectangle in R2. A new algorithm for the construction of a near-minimizer for the couple (L2(Ω), BV(Ω)) is presented. The algorithm is based on the Besicovitch covering theorem and analysis of local approximations of the given function f ∈ L2(Ω).

Place, publisher, year, edition, pages
2010. Vol. 59, no 1, 29-33 p.
Keyword [en]
real interpolation, Besicovitch Covering Theorem, near minimizers
National Category
Mathematical Analysis
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-106174DOI: 10.3176/proc.2010.1.05OAI: oai:DiVA.org:liu-106174DiVA: diva2:714443
Available from: 2010-08-22 Created: 2014-04-28 Last updated: 2017-12-05Bibliographically approved

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Asekritova, Irina

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