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Lizorkin-Freitag Formula for Several Weighted Lp Spaces and Vector-Valued Interpolation
Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM. (mathematics)
Department of Mathematics Luleå University of Technology, Luleå, Sweden.
University of Sofia, Bulgaria.
2005 (English)In: Studia Mathematica, ISSN 0039-3223, E-ISSN 1730-6337, Vol. 170, no 3, 227-239 p.Article in journal (Refereed) Published
Abstract [en]

A complete description of the real interpolation space L=(Lp0(ω0),…,Lpn(ωn))θ⃗ ,q is given. An interesting feature of the result is that the whole measure space (Ω,μ) can be divided into disjoint pieces Ωi (i∈I) such that L is an lq sum of the restrictions of L to Ωi, and L on each Ωi is a result of interpolation of just two weighted Lp spaces. The proof is based on a generalization of some recent results of the first two authors concerning real interpolation of vector-valued spaces.

Place, publisher, year, edition, pages
2005. Vol. 170, no 3, 227-239 p.
Keyword [en]
Real interpolation, Lizorkin-Freitag formula, vector-valued spaces
National Category
Mathematical Analysis
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-106169DOI: 10.4064/sm170-3-2OAI: oai:DiVA.org:liu-106169DiVA: diva2:714484
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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