On peak-interpolation manifolds for A(Ω) for convex domains in C^n
| dc.creator | Bharali, Gautam | |
| dc.date | 2002-03-06 | |
| dc.date | 2003-10-23 | |
| dc.date.accessioned | 2026-07-07T06:24:06Z | |
| dc.date.available | 2026-07-07T06:24:06Z | |
| dc.description | Let Ωbe a bounded, weakly convex domain in C^n, n>1, having real-analytic boundary. A(Ω) is the algebra of all functions holomorphic in Ωand continuous upto the boundary. A submanifold M\subset \partialΩis said to be complex-tangential if T_p(M) lies in the maximal complex subspace of T_p(\partialΩ) for each p \in M. We show that for real-analytic submanifolds M\subset \partialΩ, if M is complex-tangential, then every compact subset of M is a peak-interpolation set for A(Ω). | |
| dc.description | Final version : Corrected typographical errors, corrected proofs of lemmas 3.2 and 5.1; 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203050 | |
| dc.identifier | http://arxiv.org/abs/math/0203050 | |
| dc.identifier | Trans. Amer. Math. Soc. 356 (2004), 4811-4827 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96431 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A38, 32F32 (primary); 32D99 (secondary) | |
| dc.title | On peak-interpolation manifolds for A(Ω) for convex domains in C^n | |
| dc.type | text |