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Radially symmetric plurisubharmonic functions

Per Åhag, Rafał Czyż, Leif Persson (2012)

Annales Polonici Mathematici

In this note we consider radially symmetric plurisubharmonic functions and the complex Monge-Ampère operator. We prove among other things a complete characterization of unitary invariant measures for which there exists a solution of the complex Monge-Ampère equation in the set of radially symmetric plurisubharmonic functions. Furthermore, we prove in contrast to the general case that the complex Monge-Ampère operator is continuous on the set of radially symmetric plurisubharmonic functions. Finally...

Randregularität des ...-Problems für die Halbkugel in ... .

Joachim Michel (1986)

Manuscripta mathematica

Randregularität des ...-Problems für stückweise streng pseudokonvexe Gebiete in Cn.

Joachim Michel (1988)

Mathematische Annalen

Real anlytic regularity of the Bergman and Szegö projections on decoupled domains.

So-Chin Chen (1993)

Mathematische Zeitschrift

Régularité Gevrey au sens de Beurling ou Roumieu pour l'opérateur ... dans des ouverts non bornés.

Vincent Thilliez (1996)

Mathematische Zeitschrift

Régularité hölderienne du ...b dans les hypersurfaces 1-convexes-concaves.

Moulay-Youssef Barkatou (1996)

Mathematische Zeitschrift

Regularity and Uniqueness of Solutions to Boundary Blow-up Problems for the Complex Monge-Ampère Operator

Björn Ivarsson (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

We prove that plurisubharmonic solutions to certain boundary blow-up problems for the complex Monge-Ampère operator are Lipschitz continuous. We also prove that in certain cases these solutions are unique.

Regularity of the Bergman Projection on Domains with Partial Transverse Symmetries.

So-Chin Chen (1987)

Mathematische Annalen

Remarks on the Bergman kernel function of a worm domain

Ewa Ligocka (1998)

Studia Mathematica

We use a recent result of M. Christ to show that the Bergman kernel function of a worm domain cannot be $C^{\infty}$ -smoothly extended to the boundary.

Remarks on the proof of a generalized Hartogs Lemma

Evgeni Chirka, Jean Pierre Rosay (1998)

Annales Polonici Mathematici

This paper is an outgrowth of a paper by the first author on a generalized Hartogs Lemma. We complete the discussion of the nonlinear ∂̅ problem ∂f/∂z̅ = ψ(z,f(z)). We also simplify the proofs by a different choice of Banach spaces of functions.

Residue integral formulas and the Radon transform for differential forms on q-linearly concave domains.

G.M. Henkin, P.L. Polyakov (1990)

Mathematische Annalen

Résolution du $\bar{\partial}$ pour les courants prolongeables définis dans un anneau

Salomon Sambou (2002)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Résolution du $\bar{\partial}$ pour les formes différentielles ayant une valeur au bord au sens des courants dans un domaine strictement pseudoconvexe

Salomon Sambou, Mansour Sané (2011)

Annales mathématiques Blaise Pascal

On résout le $\bar{\partial}$ pour les formes admettant une valeur au bord au sens des courants sur un domaine strictement pseudoconvexe de $ℂ^{n}$ .

Résolution locale du ... avec régularité Gevrey au bord d'un domaine r-convexe.

Vincent Michel (1995)

Mathematische Zeitschrift

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