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Displaying 261 – 280 of 322

Some applications of a new integral formula for $\partial ̅_{b}$

Moulay-Youssef Barkatou (1998)

Annales Polonici Mathematici

Let M be a smooth q-concave CR submanifold of codimension k in $ℂ^{n}$ . We solve locally the $\partial ̅_{b}$ -equation on M for (0,r)-forms, 0 ≤ r ≤ q-1 or n-k-q+1 ≤ r ≤ n-k, with sharp interior estimates in Hölder spaces. We prove the optimal regularity of the $\partial ̅_{b}$ -operator on (0,q)-forms in the same spaces. We also obtain $L^{p}$ estimates at top degree. We get a jump theorem for (0,r)-forms (r ≤ q-2 or r ≥ n-k-q+1) which are CR on a smooth hypersurface of M. We prove some generalizations of the Hartogs-Bochner-Henkin extension...

Some applications of the Bergman kernel to geometrical theory of functions

I. Ramadanov (1983)

Banach Center Publications

Some characterizations of Bloch functions on strongly pseudoconvex domains

Jianwen Zhang (1992)

Colloquium Mathematicae

Some convexity properties of morphisms of complex spaces.

Vajaitu, Viorel (1994)

Mathematische Zeitschrift

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

Alessandro Silva (1980)

Rendiconti del Seminario Matematico della Università di Padova

Some remarks on a new pseudo-differential metric

Kyong T. Hahn (1981)

Annales Polonici Mathematici

Starrheitssätze für Produkte normierter Vektorräume endlicher Dimension und für Produkte hyperbolischer komplexer Räume.

Konrad Peters (1974)

Mathematische Annalen

Strange complex structures on Euclidean space.

Klas Diederich, Nessim Sibony (1979)

Journal für die reine und angewandte Mathematik

Strengthened Moser’s conjecture, geometry of Grunsky coefficients and Fredholm eigenvalues

Samuel Krushkal (2007)

Open Mathematics

The Grunsky and Teichmüller norms ϰ(f) and k(f) of a holomorphic univalent function f in a finitely connected domain D ∋ ∞ with quasiconformal extension to $\hat{ℂ}$ are related by ϰ(f) ≤ k(f). In 1985, Jürgen Moser conjectured that any univalent function in the disk Δ* = z: |z| > 1 can be approximated locally uniformly by functions with ϰ(f) < k(f). This conjecture has been recently proved by R. Kühnau and the author. In this paper, we prove that approximation is possible in a stronger sense, namely,...

Strongly Plurisubharmonic Exhaustion Functions on 1-Convex Spaces.

Mihnea Coltoiu, Nicolae Mihalache (1985)

Mathematische Annalen

Successioni crescenti di $Q$ -coppie di runge di varietà analitiche complesse

Alessandro Silva (1973)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Sur la caractérisation des automorphismes analytiques d'un domaine borné

Vigué, Jean-Pierre (1985/1986)

Portugaliae mathematica

Sur la caractérisation des isomorphismes analytiques entre domaines bornés d'un espace de Banach complexe

Jean-Pierre Vigué (1994)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Sur la convexité holomorphe. Théorie locale

A. Fabiano, P. Pietramala (1990)

Annales de l'institut Fourier

On définit une notion de convexité géométrique pour des ensembles ouverts de $C^{n}$ . On démontre des résultats de cohomologie locale précisant la topologie du dernier groupe de cohomologie non nul; la cohomologie considérée ici est la cohomologie de Dolbeault pour les formes différentielles.

Sur les applications holomorphes isométriques pour la distance de Carathéodory

Jean-Pierre Vigué (1982)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Sur les domaines hyperboliques pour la distance intégrée de Carathéodory

Jean-Pierre Vigué (1996)

Annales de l'institut Fourier

Dans cet article, je montre qu’un domaine $D$ est hyperbolique pour la pseudodistance intégrée de Carathéodory $c_{D}^{i}$ (c’est-à-dire que $c_{D}^{i}$ est une distance sur $D$ ) si et seulement si la pseudodistance de Carathéodory $c_{D}$ vérifie la propriété de séparation faible suivante : tout point $x$ de $D$ possède un voisinage $V$ tel que, pour tout point $y$ de $V$ , $y \neq x$ , $c_{D} (x, y)) \neq 0$ . Je construis aussi un exemple d’un domaine $c_{D}^{i}$ -hyperbolique et non $c_{D}$ -hyperbolique.

Sur les espaces complets pour la distance de Carathéodory

Larbi Belkhchicha, Jean-Pierre Vigué (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

An example of a finite dimensional analytic space is exhibited, for which the Carathéodory integrated distance and the Carathéodory distance, although defining the same topology, are respectively complete and incomplete.

Sur les rétractes holomorphes de dimension 1

Jean-Pierre Vigué (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this Note, I study existence and unicity of holomorphic retractions on complex submanifolds of dimension 1.

The analyticity of $q$ -concave sets of locally finite Hausdorff $(2 n - 2 q)$ measure

Viorel Vâjâitu (2000)

Annales de l'institut Fourier

We prove the analyticity of $q$ -concave sets of locally finite Hausdorff $(2 n - 2 q)$ -measure in a $n$ -dimensional complex space. We apply it to give a removability criterion for meromorphic maps with values in $q$ -complete spaces.

The Bochner-Hartogs dichotomy for weakly 1-complete Kähler manifolds

Terence Napier, Mohan Ramachandran (1997)

Annales de l'institut Fourier

It is proved that if $M$ is a weakly 1-complete Kähler manifold with only one end, then $H_{c}^{1} (M, 𝒪) = 0$ or there exists a proper holomorphic mapping of $M$ onto a Riemann surface.

Currently displaying 261 – 280 of 322

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