liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
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, 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
URN: urn:nbn:se:liu:diva-106169DOI: 10.4064/sm170-3-2OAI: diva2:714484
Available from: 2010-08-22 Created: 2014-04-28 Last updated: 2014-04-28Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Asekritova, Irina
In the same journal
Studia Mathematica
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 29 hits
ReferencesLink to record
Permanent link

Direct link