Pseudoconvex domains in almost complex abstract wiener spaces

Shigeo Kusuoka, Setsuo Taniguchi

研究成果: ジャーナルへの寄稿記事

3 引用 (Scopus)

抜粋

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.

元の言語英語
ページ(範囲)62-117
ページ数56
ジャーナルJournal of Functional Analysis
117
発行部数1
DOI
出版物ステータス出版済み - 10 1993

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Analysis

これを引用