PSEUDOCONVEX DOMAINS IN ALMOST COMPLEX ABSTRACT WIENER-SPACES

被引：3

作者：

KUSUOKA, S ^{[1
]}

TANIGUCHI, S ^{[1
]}

机构：

[1] KYUSHU UNIV,FAC ENGN,DEPT APPL SCI,FUKUOKA 812,JAPAN

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1993年 / 117卷 / 01期

关键词：

D O I：

10.1006/jfan.1993.1123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The ∂-operator on an almost complex abstract Wiener space (B, H, μ, J) is defined by making use of the Malliavin calculus. The authors then study pseudoconvex domains in B, domains where the ∂-equations ∂u = f(hook) are solvable. As an application, they establish an approximation theorem of holomorphic forms and a Dolbeault type theorem. Examples of such domains, obtained through SDE, one also discussed. © 1993 Academic Press Limited.

引用

页码：62 / 117

页数：56

共 9 条

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