| THE δ^－－PROBLEM FOR HOLOMORPHIC （0,2）－FORMS ON PSEUDOCONVEX DOMAINS IN SEPARABLE HILBERT SPACES AND D.F.N. SPACES |
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| 作者姓名： | J. LEE K. H. SHON |
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| 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.
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| 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： | 2000/7/25 0:00:00 |
THE $\ov{\hbox{\tf{\char 64}}}$-PROBLEM FOR HOLOMORPHIC (0,2)-FORMS ON PSEUDOCONVEX DOMAINS IN SEPARABLE HILBERT SPACES AND D.F.N.
SPACES |
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| J. LEE,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. |
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| Authors: | J LEE and K H SHON |
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| Institution: | [1]DepartmentofMathematicsEducation,AndongNationalUniversity,Andong760-749,Korea [2]DepartmentofMathematics,PusanNationalUniversity,Pusan609-735,Korea |
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| Abstract: | This paper shows that the $\ov\partial$-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 the
solution of the $\ov\partial$-equation for holomorphic $(0,2)$-forms on pseudoconvex domains in D.F.N. spaces. |
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| Keywords: | $\ov\partial$-problem Pseudoconvex domain Nuclear operator D F N space |
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