Differential inequalities of continuous functions and removing singularities of Rado type for J-holomorphic maps
| dc.creator | Gong, Xianghong | |
| dc.creator | Rosay, Jean-Pierre | |
| dc.date | 2007-08-13 | |
| dc.date.accessioned | 2026-07-07T08:23:25Z | |
| dc.date.available | 2026-07-07T08:23:25Z | |
| dc.description | We consider a continuous function $f$ on a domain in $\mathbf C^n$ satisfying the inequality that $|\bar \partial f|\leq |f|$ off its zero set. The main conclusion is that the zero set of $f$ is a complex variety. We also obtain removable singularity theorem of Rado type for J-holomorphic maps. Let $Ω$ be an open subset in $\mathbf C$ and let $E$ be a closed polar subset of $Ω$. Let $u$ be a continuous map from $Ω$ into an almost complex manifold $(M,J)$ with $J$ of class $C^1$. We show that if $u$ is J-holomorphic on $Ω\setminus E$ then it is J-holomorphic on $Ω$. | |
| dc.identifier | https://arxiv.org/abs/0708.1726 | |
| dc.identifier | http://arxiv.org/abs/0708.1726 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135992 | |
| dc.subject | Complex Variables | |
| dc.subject | 32S05, 32Q65 | |
| dc.title | Differential inequalities of continuous functions and removing singularities of Rado type for J-holomorphic maps | |
| dc.type | text |