$L^p$-estimates for solutions of $\overline{\partial }$-equation on strongly $q$-convex domains

Osama Abdelkader; Sh. Khidr

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Solution of the $\bar{\partial}$ -equation on non-smooth strictly $q$ -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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On the embedding of 1-convex manifolds with 1-dimensional exceptional set

Lucia Alessandrini, Giovanni Bassanelli (2001)

Annales de l’institut Fourier

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In this paper we show that a 1-convex (i.e., strongly pseudoconvex) manifold $X$ , with 1- dimensional exceptional set $S$ and finitely generated second homology group $H_{2} (X, ℤ)$ , is embeddable in $ℂ^{m} \times ℂ ℙ_{n}$ if and only if $X$ is Kähler, and this case occurs only when $S$ does not contain any effective curve which is a boundary.

Potential theory and several complex variables

J. J. Kohn (1963)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Pseudoconvex domains over $q$ -complete manifolds

Viorel Vâjâitu (2000)

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Some properties of positive line bundles on 1-convex complex analytic spaces

Alessandro Silva (1980)

Rendiconti del Seminario Matematico della Università di Padova

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Ilmanen’s lemma on insertion of C $^{1, 1}$ functions

A. Fathi, M. Zavidovique (2010)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “ L p -estimates for solutions of ∂ ¯ -equation on strongly q -convex domains”

Solution of the ∂ ¯ -equation on non-smooth strictly q -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem

On the embedding of 1-convex manifolds with 1-dimensional exceptional set

Potential theory and several complex variables

Pseudoconvex domains over q -complete manifolds

Some properties of positive line bundles on 1-convex complex analytic spaces

Ilmanen’s lemma on insertion of C 1 , 1 functions

Displaying similar documents to “ $L^{p}$ -estimates for solutions of $\bar{\partial}$ -equation on strongly $q$ -convex domains”

Solution of the $\bar{\partial}$ -equation on non-smooth strictly $q$ -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem

Pseudoconvex domains over $q$ -complete manifolds

Ilmanen’s lemma on insertion of C $^{1, 1}$ functions