| THE δ^－－PROBLEM FOR HOLOMORPHIC （0,2）－FORMS ON PSEUDOCONVEX DOMAINS IN SEPARABLE HILBERT SPACES AND D.F.N. SPACES |
| |
| 引用本文： | J. LEE,K. H. SHON. THE δ^－－PROBLEM FOR HOLOMORPHIC （0,2）－FORMS ON PSEUDOCONVEX DOMAINS IN SEPARABLE HILBERT SPACES AND D.F.N. SPACES[J]. 数学年刊B辑(英文版), 2002, 23(1): 67-74 |
| |
| 作者姓名： | J. LEE K. H. SHON |
| |
| 摘 要： | This paper shows that the δ^--problem for holomorphic (0, 2)-forms on Hilbert spaces is solv-able on pseudoconvex open subsets. By using this result, the authors investigate the existence ofthe solution of the δ^--equation for holomorphic(0, 2)-forms on pseudoconvex domains in D.F.N.spaces.
|
| 关 键 词： | 全纯形式 伪凸域 Hilbert空间 D.F.N.空间 偏微分算子 可解性 存在性 |
| 收稿时间： | 2000-07-25 |
THE $ov{hbox{tf{char 64}}}$-PROBLEM FOR HOLOMORPHIC (0,2)-FORMS ON PSEUDOCONVEX DOMAINS IN SEPARABLE HILBERT SPACES AND D.F.N.SPACES |
| |
| J. LEE and K. H. SHON. THE $ov{hbox{tf{char 64}}}$-PROBLEM FOR HOLOMORPHIC (0,2)-FORMS ON PSEUDOCONVEX DOMAINS IN SEPARABLE HILBERT SPACES AND D.F.N.SPACES[J]. Chinese Annals of Mathematics,Series B, 2002, 23(1): 67-74 |
| |
| Authors: | J. LEE and K. H. SHON |
| |
| Affiliation: | [1]DepartmentofMathematicsEducation,AndongNationalUniversity,Andong760-749,Korea [2]DepartmentofMathematics,PusanNationalUniversity,Pusan609-735,Korea |
| |
| Abstract: | This paper shows that the $ovpartial$-problem for holomorphic $(0,2)$-forms on Hilbert spaces is solvable on pseudoconvex open subsets. By using this result, the authors investigate the existence of thesolution of the $ovpartial$-equation for holomorphic $(0,2)$-forms on pseudoconvex domains in D.F.N. spaces. |
| |
| Keywords: | $ovpartial$-problem Pseudoconvex domain Nuclear operator D.F.N. space |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
