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Displaying 121 – 140 of 312

Henkin-Ramirez formulas with weight factors

B. Berndtsson, Mats Andersson (1982)

Annales de l'institut Fourier

We construct a generalization of the Henkin-Ramírez (or Cauchy-Leray) kernels for the $\overline{\partial}$ -equation. The generalization consists in multiplication by a weight factor and addition of suitable lower order terms, and is found via a representation as an “oscillating integral”. As special cases we consider weights which behave like a power of the distance to the boundary, like exp- $ϕ$ with $ϕ$ convex, and weights of polynomial decrease in $C^{n}$ . We also briefly consider kernels with singularities on subvarieties...

Higher asymptotics of the complex Monge-Ampère equation

C. Robin Graham (1987)

Compositio Mathematica

Hinfty + LE in several variables.

Julià Cufi (1982)

Collectanea Mathematica

Hodge Spectral Sequence on Pseudoconvex Domains.

Takeo Ohsawa, Kensho Takegoshi (1988)

Mathematische Zeitschrift

Hölder and LP Estimates for ...b on Weakly Pseudo-Convex Boundaries in C2.

Mei-Chi Shaw (1987/1988)

Mathematische Annalen

Hölder continuity of proper holomorphic mappings

François Berteloot (1991)

Studia Mathematica

We prove the Hölder continuity for proper holomorphic mappings onto certain piecewise smooth pseudoconvex domains with "good" plurisubharmonic peak functions at each point of their boundaries. We directly obtain a quite precise estimate for the exponent from an attraction property for analytic disks. Moreover, this way does not require any consideration of infinitesimal metric.

Hölder regularity for solutions to complex Monge-Ampère equations

Mohamad Charabati (2015)

Annales Polonici Mathematici

We consider the Dirichlet problem for the complex Monge-Ampère equation in a bounded strongly hyperconvex Lipschitz domain in ℂⁿ. We first give a sharp estimate on the modulus of continuity of the solution when the boundary data is continuous and the right hand side has a continuous density. Then we consider the case when the boundary value function is $^{1, 1}$ and the right hand side has a density in $L^{p} (Ω)$ for some p > 1, and prove the Hölder continuity of the solution.

Hölderabschätzungen für Ableitungen von Lösungen der Gleichung ...= f bei streng pseudokonvem Rand.

Wolfgang Alt (1974)

Manuscripta mathematica

Holomorphe Funktionen auf Gebieten über Banach-Räumen zu vorgegebenen Konvergenzradien.

Martin Schottenloher (1977)

Manuscripta mathematica

Holomorphic approximation in infinite-dimensional Riemann domains

Jorge Mujica (1985)

Studia Mathematica

Holomorphic convexity of spaces of analytic cycles

François Norguet, Yum-Tong Siu (1977)

Bulletin de la Société Mathématique de France

Holomorphic functions of fast growth on submanifolds of the domain

Piotr Jakóbczak (1998)

Annales Polonici Mathematici

We construct a function f holomorphic in a balanced domain D in $ℂ^{N}$ such that for every positive-dimensional subspace Π of $ℂ^{N}$ , and for every p with 1 ≤ p < ∞, ${f |}_{Π \cap D}$ is not $L^{p}$ -integrable on Π ∩ D.

Holomorphic functions on locally convex topological vector spaces. II. Pseudo convex domains

Sean Dineen (1973)

Annales de l'institut Fourier

In this article we discuss the relationship between domains of existence domains of holomorphy, holomorphically convex domains, pseudo convex domains, in the context of locally convex topological vector spaces. By using the method of Hirschowitz for $Π_{n = 1}^{\infty} C$ and the method used for Banach spaces with a basis we prove generalisations of the Cartan-Thullen-Oka-Norguet-Bremmerman theorem for finitely polynomially convex domains in a variety of locally convex spaces which include the following:1) $N$ -projective...

Currently displaying 121 – 140 of 312

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Displaying 121 – 140 of 312

Henkin-Ramirez formulas with weight factors

Higher asymptotics of the complex Monge-Ampère equation

Hinfty + LE in several variables.

Hodge Spectral Sequence on Pseudoconvex Domains.

Hölder and LP Estimates for ...b on Weakly Pseudo-Convex Boundaries in C2.

Hölder continuity of proper holomorphic mappings

Hölder regularity for solutions to complex Monge-Ampère equations

Hölderabschätzungen für Ableitungen von Lösungen der Gleichung ...= f bei streng pseudokonvem Rand.

Holomorphe Funktionen auf Gebieten über Banach-Räumen zu vorgegebenen Konvergenzradien.

Holomorphic approximation in infinite-dimensional Riemann domains

Holomorphic convexity of spaces of analytic cycles

Holomorphic functions of fast growth on submanifolds of the domain

Holomorphic functions on locally convex topological vector spaces. II. Pseudo convex domains

Holomorphic generators of some ideals in $C^{\infty} (\bar{D})$

Holomorphic Lipschitz functions and application to the $v \partial$ -problem

Holomorphic mapping of annuli in $C^{n}$ and the associated extremal function

Hypoellipticité pour l'opérateur ... .

Inégalités à priori et estimation sous-elliptique pour ... dans des ouverts non pseudoconvexes.

Inégalités de Carleman et applications au $\bar{\partial}$

Inner Functions and Boundary Values in H... (...) and A (...) in Smoothly Bounded Pseudoconvex Domains.

Currently displaying 121 – 140 of 312