Boundary cross theorem in dimension 1
| dc.creator | Pflug, Peter | |
| dc.creator | Nguyen, Viet-Anh | |
| dc.date | 2005-03-16 | |
| dc.date | 2006-10-29 | |
| dc.date.accessioned | 2026-07-07T06:39:35Z | |
| dc.date.available | 2026-07-07T06:39:35Z | |
| dc.description | Let $X, Y$ be two complex manifolds of dimension 1 which are countable at infinity, let $D\subset X,$ $ G\subset Y$ be two open sets, let $A$ (resp. $B$) be a subset of $\partial D$ (resp. $\partial G$), and let $W$ be the 2-fold cross $((D\cup A)\times B)\cup (A\times(B\cup G)).$ Suppose in addition that $D$ (resp. $G$) is {\it Jordan-curve-like on $A$} (resp. $B$) and that $A$ and $B$ are {\it of positive length}. We determine the "envelope of holomorphy" $\hat{W}$ of $W$ in the sense that any function locally bounded on $W,$ measurable on $A\times B,$ and separately holomorphic on $(A\times G) \cup (D\times B)$ "extends" to a function holomorphic on the interior of $\hat{W}.$ | |
| dc.description | 43 pages, to appear in "Annales Polonici Mathematici". This is the revised version of our article put on Arxiv in March 2005 | |
| dc.identifier | https://arxiv.org/abs/math/0503326 | |
| dc.identifier | http://arxiv.org/abs/math/0503326 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101134 | |
| dc.subject | Complex Variables | |
| dc.subject | Primary 32D15, 32D10 | |
| dc.title | Boundary cross theorem in dimension 1 | |
| dc.type | text |