- Tytuł:
- On equivalence of K- and J-methods for (n+1)-tuples of Banach spaces
- Autorzy:
-
Asekritova, Irina
Krugljak, Natan - Powiązania:
- https://bibliotekanauki.pl/articles/1220211.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
- It is shown that the main results of the theory of real interpolation, i.e. the equivalence and reiteration theorems, can be extended from couples to a class of (n+1)-tuples of Banach spaces, which includes (n+1)-tuples of Banach function lattices, Sobolev and Besov spaces. As an application of our results, it is shown that Lions' problem on interpolation of subspaces and Semenov's problem on interpolation of subcouples have positive solutions when all spaces are Banach function lattices or their retracts. In general, these problems have negative solutions.
- Źródło:
-
Studia Mathematica; 1997, 122, 2; 99-116
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł