The \(\bar\partial\)-problem for a (0,2)-form in a D.F.N. space

DOI10.1016/0022-1236(91)90084-IzbMath0743.46043MaRDI QIDQ1174965

Roberto Luiz Soraggi

Publication date: 25 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

regularityweak solution\(\overline\partial\)-problemscale of Hilbert spacesDFN-space\(d\)-bar-problemholomorphic forms on Hilbert spacezylinder solution

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (4)

\(L^2\) estimates and existence theorems for the \(\overline{\partial}\) operators in infinite dimensions. I ⋮ Local factorization of differential forms on Fréchet-Schwartz spaces ⋮ The \(\overline{\partial}\) problem for \((0,2)\)-forms in infinite dimensional complex spaces ⋮ Localization of global existence of holomorphic solutions of holomorphic differential equations with infinite dimensional parameter

Cites Work

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• The (partial d) equation in DFN spaces
• Gaussian measures in Banach spaces
• Counterexamples in holomorphic functions on nuclear Fréchet spaces
• Potential theory on Hilbert space
• The \(\bar \partial\) equation with polynomial growth on a Hilbert space
• Le problème du $\overline\partial$ sur un espace de Hilbert
• L'équation $\bar\partial$ dans les ouverts pseudo-convexes des espaces DFN
• The theory of differentiation in linear topological spaces
• Differentiable functions on certain Banach spaces
• The various definitions of the derivative in linear topological spaces
• $d\sp{\prime\prime} $-cohomologie à croissance lente dans C$\sp{n}$

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