- Tytuł:
- Interpolation dopérateurs entre espaces de fonctions holomorphes
- Autorzy:
- Lassere, Patrice
- Powiązania:
- https://bibliotekanauki.pl/articles/1312395.pdf
- Data publikacji:
- 1991
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
interpolation of operators
spaces of analytic functions
common Schauder bases - Opis:
- Let $K$ be a compact subset of an hyperconvex open set $D ⊂ ℂ^n$, forming with D a Runge pair and such that the extremal p.s.h. function ω(·,K,D) is continuous. Let H(D) and H(K) be the spaces of holomorphic functions respectively on D and K equipped with their usual topologies. The main result of this paper contains as a particular case the following statement: if T is a continuous linear map of H(K) into H(K) whose restriction to H(D) is continuous into H(D), then the restriction of T to $H(D_α)$ is a continuous linear map of $H(D_α)$ into $H(D_α)$, ∀α ∈ ]0,1[ where $D_α = {z ∈ D : ω(z,D,K) < α}$.
- Źródło:
-
Annales Polonici Mathematici; 1991-1992, 56, 1; 97-102
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł