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| 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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Citation： |
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 B,2002,23(1):67~74 |
| Page view： 1206
Net amount： 961 |
Authors： |
J. LEE; K. H. SHON |
Foundation： |
The first author was supported by KOSEF postdoctoral fellowship 1998 and the second author was supported by the Brain Korea 21 Project, 1999. |
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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. |
Keywords： |
$\ov\partial$-problem, Pseudoconvex domain, Nuclear operator, D.F.N. space |
Classification： |
32W05, 46E50 |
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