-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 “Semi-global solutions of ∂b with Lp (1 ≤ p ≤ ∞) bounds on strongly pseudoconvex real hypersurfaces in Cn (n ≥ 3).”
-regularity for the -equation on a piecewise smooth union of strictly pseudoconvex domains in
A remark on semiglobal existence for
Alberto Scalari (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Hölder and L estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains.
Josep M. Burgués Badía (1990)
Publicacions Matemàtiques
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Let D be a bounded strict pseudoconvex non-smooth domain in C. In this paper we prove that the estimates in L and Lipschitz classes for the solutions of the ∂-equation with L-data in regular strictly pseudoconvex domains (see [2]) are also valid for D. We also give estimates of the same type for the ∂ in the regular part of the boundary of these domains.
Regularity of the tangential Cauchy-Riemann complex and applications
Joachim Michel (1995)
Banach Center Publications
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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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The Hölder continuity of the Bergman projection and proper holomorphic mappings
Ewa Ligocka (1984)
Studia Mathematica
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Extension and restriction of holomorphic functions
Klas Diederich, Emmanuel Mazzilli (1997)
Annales de l'institut Fourier
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Strong pathologies with respect to growth properties can occur for the extension of holomorphic functions from submanifolds of pseudoconvex domains to all of even in quite simple situations; The spaces are, in general, not at all preserved. Also the image of the Hilbert space under the restriction to can have a very strange structure.