-regularity for the -equation on a piecewise smooth union of strictly pseudoconvex domains in
Joachim Michel, Alessandro Perotti (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Hilbert-valued forms and barriers on weakly pseudoconvex domains.”
-regularity for the -equation on a piecewise smooth union of strictly pseudoconvex domains in
Counterexamples to the Gleason problem
Ulf Backlund, Anders Fällström (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Weighted Sobolev spaces in complex ellipsoids
Joaquín M. Ortega, Joan Fàbrega (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Cauchy-Stieltjes integrals on strongly pseudoconvex domains
Edgar Lee Stout (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Necessary conditions for local convexifiability of pseudoconvex domains in
Kolář, Martin
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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.