A duality approach for optimal decomposition in real interpolation
2013 (English)Report (Other academic)
We use our previous results on subdifferentiability and dual characterization of optimal decomposition for an infimal convolution to establish mathematical properties of exact minimizers (optimal decomposition) for the K–,L–, and E– functionals of the theory of real interpolation. We characterize the geometry of optimal decomposition for the couple (ℓp, X) on Rn and provide an extension of a result that we have establshed recently for the couple (ℓ2, X) on Rn. We will also apply the Attouch–Brezis theorem to show the existence of optimal decomposition for these functionals for the conjugate couple.
Place, publisher, year, edition, pages
Linlöping: Linköping University Electronic Press, 2013. , 38 p.
LiTH-MAT-R, ISSN 0348-2960 ; 8
IdentifiersURN: urn:nbn:se:liu:diva-94153ISRN: LiTH-MAT-R--2013/08--SEOAI: oai:DiVA.org:liu-94153DiVA: diva2:629632