Local factorization of differential forms on Fréchet-Schwartz spaces

DOI10.1006/jmaa.1997.5254zbMath0886.46051OpenAlexW2027150738MaRDI QIDQ1359622

Roberto Luiz Soraggi

Publication date: 10 May 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5254

zbMATH Keywords

differential forms\(\overline\partial\)-problemFréchet-Schwartz spaceglobal factorizationFréchet nuclear spacelocal factorization

Mathematics Subject Classification ID

Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

• The (partial d) equation in DFN spaces
• The \(\bar\partial\)-problem for a (0,2)-form in a D.F.N. space
• Differential calculus in locally convex spaces
• Counterexamples in holomorphic functions on nuclear Fréchet spaces
• 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
• The various definitions of the derivative in linear topological spaces
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