Holomorphic Lipschitz functions and application to the $v{∂}$-problem

Der-Chen Chang; Steven Krantz

Displaying similar documents to “Holomorphic Lipschitz functions and application to the $v \partial$ -problem”

Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.

Mats Andersson, Hasse Carlsson (1995)

Revista Matemática Iberoamericana

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Let D be a bounded strictly pseudoconvex domain in C. We construct approximative solution formulas for the equation i∂∂`u = θ, θ being an exact (1,1)-form in D. We show that our formulas give simple proofs of known estimates and indicate further applications.

Fatou and Korányi-Vági type theorems on the minimal ball.

Nguyên Viêt Anh (2002)

Publicacions Matemàtiques

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In this paper we develop the H(p ≥ 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Koráanyi-Vági type on this ball.

On isometries of the carathéodory and Kobayashi metrics on strongly pseudoconvex domains

Harish Seshadri (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Let $Ω_{1}$ and $Ω_{2}$ be $strongly pseudoconvex$ domains in $ℂ^{n}$ and $f : Ω_{1} \to Ω_{2}$ an isometry for the Kobayashi or Carathéodory metrics. Suppose that $f$ extends as a $C^{1}$ map to ${\bar{Ω}}_{1}$ . We then prove that ${f |}_{\partial Ω_{1}} : \partial Ω_{1} \to \partial Ω_{2}$ is a CR or anti-CR diffeomorphism. It follows that $Ω_{1}$ and $Ω_{2}$ must be biholomorphic or anti-biholomorphic.

An algorithm for the one-phase Stefan problem

E. Di Benedetto, R. Spigler (1983)

Rendiconti del Seminario Matematico della Università di Padova

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Cross-continuity vs. continuity

F. Grünbaum, E. Zarantonello (1966)

Studia Mathematica

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Balls defined by nonsmooth vector fields and the Poincaré inequality

Annamaria Montanari, Daniele Morbidelli (2004)

Annales de l’institut Fourier

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We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.

A nonlinear oblique derivative boundary value problem for the heat equation : analogy with the porous medium equation

Luis A Caffarelli, Jean-Michel Roquejoffre (2002)

Annales de l'I.H.P. Analyse non linéaire

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Displaying similar documents to “Holomorphic Lipschitz functions and application to the v ∂ -problem”

Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.

Fatou and Korányi-Vági type theorems on the minimal ball.

On isometries of the carathéodory and Kobayashi metrics on strongly pseudoconvex domains

An algorithm for the one-phase Stefan problem

Cross-continuity vs. continuity

Balls defined by nonsmooth vector fields and the Poincaré inequality

A nonlinear oblique derivative boundary value problem for the heat equation : analogy with the porous medium equation

Displaying similar documents to “Holomorphic Lipschitz functions and application to the $v \partial$ -problem”