抄録
We study Nevanlinna theory using stochastic calculus. We have a defect relation for holomorphic maps in equidimensional cases which includes Carlson and Griffiths′ defect relation. The main probabilistic methods used here are some estimates on some increasing processes for Brownian motion and martingales on manifolds. The latter is obtained from Krylov′s estimate on stochastic integrals for martingales.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 473-510 |
| ページ数 | 38 |
| ジャーナル | Journal of Functional Analysis |
| 巻 | 132 |
| 号 | 2 |
| DOI | |
| 出版ステータス | Published - 1995 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 分析