Semi-global solutions of ∂b with Lp (1 ≤ p ≤ ∞) bounds on strongly pseudoconvex real hypersurfaces in Cn (n ≥ 3).

C. H. Chang; H. P. Lee

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$C^{k}$ -regularity for the $\bar{\partial}$ -equation on a piecewise smooth union of strictly pseudoconvex domains in $ℂ^{n}$

Joachim Michel, Alessandro Perotti (1994)

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A remark on semiglobal existence for $\bar{\partial}$

Alberto Scalari (1997)

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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)

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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)

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Pseudoconvex domains over $q$ -complete manifolds

Viorel Vâjâitu (2000)

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The Hölder continuity of the Bergman projection and proper holomorphic mappings

Ewa Ligocka (1984)

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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 $D^{'}$ of pseudoconvex domains $D$ to all of $D$ even in quite simple situations; The spaces $A^{p} (D^{'}) : = 𝒪 (D^{'}) \cap L^{p} (D^{'})$ are, in general, not at all preserved. Also the image of the Hilbert space $A^{2} (D)$ under the restriction to $D^{'}$ can have a very strange structure.

Displaying similar documents to “Semi-global solutions of ∂b with Lp (1 ≤ p ≤ ∞) bounds on strongly pseudoconvex real hypersurfaces in Cn (n ≥ 3).”

C k -regularity for the ∂ ¯ -equation on a piecewise smooth union of strictly pseudoconvex domains in ℂ n

A remark on semiglobal existence for ∂ ¯

Hölder and L estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains.

Regularity of the tangential Cauchy-Riemann complex and applications

Pseudoconvex domains over q -complete manifolds

The Hölder continuity of the Bergman projection and proper holomorphic mappings

Extension and restriction of holomorphic functions

$C^{k}$ -regularity for the $\bar{\partial}$ -equation on a piecewise smooth union of strictly pseudoconvex domains in $ℂ^{n}$

A remark on semiglobal existence for $\bar{\partial}$

Pseudoconvex domains over $q$ -complete manifolds