Reinhardt domains and the Gleason problem
Oscar Lemmers, Jan Wiegerinck (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “L1 and L∞-estimates with a local weight for the ∂-equation on convex domains in Cn.”
Reinhardt domains and the Gleason problem
Convexity, C-convexity and Pseudoconvexity Изпъкналост, c-изпъкналост и псевдоизпъкналост
Nikolov, Nikolai (2011)
Union of Bulgarian Mathematicians
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Николай М. Николов - Разгледани са характеризации на различни понятия за изпъкналост, като тези понятия са сравнени. We discuss different characterizations of various notions of convexity as well as we compare these notions. *2000 Mathematics Subject Classification: 32F17.
Solution of the -equation on non-smooth strictly -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem
Gerd Schmalz (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Counterexamples to the Gleason problem
Ulf Backlund, Anders Fällström (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Pseudoconvex domains over -complete manifolds
Viorel Vâjâitu (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Semi-global solutions of ∂ with L (1 ≤ p ≤ ∞) bounds on strongly pseudoconvex real hypersurfaces in C (n ≥ 3).
C. H. Chang, H. P. Lee (1999)
Publicacions Matemàtiques
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Let M be an open subset of a compact strongly pseudoconvex hypersurface {ρ = 0} defined by M = D × C ∩ {ρ = 0}, where 1 ≤ m ≤ n-2, D = {σ(z, ..., z) < 0} ⊂ C is strongly pseudoconvex in C. For ∂ closed (0, q) forms f on M, we prove the semi-global existence theorem for ∂ if 1 ≤ q ≤ n-m-2, or if q = n - m - 1 and f satisfies an additional “moment condition”. Most importantly, the solution operator satisfies L estimates for 1 ≤ p ≤ ∞ with p = 1 and ∞ included.