- Tytuł:
- Universal divisors in Hardy spaces
- Autorzy:
-
Amar, E.
Menini, C. - Powiązania:
- https://bibliotekanauki.pl/articles/1205814.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
- We study a division problem in the Hardy classes $H^{p}()$ of the unit ball of $ℂ^{2}$ which generalizes the $H^{p}$ corona problem, the generators being allowed to have common zeros. MPrecisely, if S is a subset of , we study conditions on a $ℂ^{k}$-valued bounded Mholomorphic function B, with $B_{|S} = 0$, in order that for 1 ≤ p < ∞ and any function $f ∈ H^{p}()$ with $f_{|S} = 0$ there is a $ℂ^{k}$-valued $H^{p}()$ holomorphic function F with f = B·F, i.e. the module generated by the components of B in the Hardy class $H^{p}()$ is the entire module $M_{S}:= {f ∈ H^{p}(): f_{|S} = 0 }$. As a special case, for S = ∅, we get the $H^{p}$ corona theorem.
- Źródło:
-
Studia Mathematica; 2000, 143, 1; 1-21
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł