THE -PROBLEM FOR HOLOMORPHIC (0,2)-FORMS ON PSEUDOCONVEX DOMAINS IN SEPARABLE HILBERT SPACES AND D.F.N. SPACES
Author(s): J.LEE, K.H.SHON
Pages: 67-74
Year: 2002 Issue: 1
Journal: CHINESE ANNALS OF MATHEMATICS,SERIES B
Keyword: -problem; Pseudoconvex domain; Nuclear operator; D.F.N. space;
Abstract: This paper shows that the -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 of the solution of the -equation for holomorphic (0, 2)-forms on pseudoconvex domains in D.F.N. spaces.
Pages: 67-74
Year: 2002 Issue: 1
Journal: CHINESE ANNALS OF MATHEMATICS,SERIES B
Keyword: -problem; Pseudoconvex domain; Nuclear operator; D.F.N. space;
Abstract: This paper shows that the -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 of the solution of the -equation for holomorphic (0, 2)-forms on pseudoconvex domains in D.F.N. spaces.
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