Results 41 to 50 of about 2,775,649 (193)

Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cⁿ

Mathematics, 2019
The purpose of this paper is to study the Mergelyan approximation property in L p and C k -scales on certain weakly pseudoconvex domains of finite/infinite type in C n .
Shaban Khidr
doaj   +1 more source

Conformal equivalence of visual metrics in pseudoconvex domains [PDF]

Mathematische Annalen, 2017
We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometries between bounded, smooth strongly pseudoconvex domains in Cn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
L. Capogna, Enrico Le Donne
semanticscholar   +1 more source

The Mergelyan property for weakly pseudoconvex domains [PDF]

Manuscripta Mathematica, 1977
We show that pseudoconvex domains have the Mergelyan property if the Levi form is degenerate on a sufficiently small set in the boundary. This includes the case when the weakly pseudoconvex points all lie on a smooth curve.
Fornaess, J.E., Nagel, A.
openaire   +2 more sources

Hölder continuous solutions to the complex Monge–Ampère equations in non-smooth pseudoconvex domains [PDF]

, 2016
In this paper, we prove the Hölder continuity for solutions to the complex Monge–Ampère equations on non-smooth pseudoconvex domains of plurisubharmonic type m.
N. X. Hong, T. Thủy
semanticscholar   +1 more source

Deformations of strongly pseudoconvex domains [PDF]

Manuscripta Mathematica, 2012
We show that two smoothly bounded, strongly pseudoconvex domains which are diffeomorphic may be smoothly deformed into each other, with all intermediate domains being strongly pseudoconvex. This result relates to Lempert's ideas about Kobayashi extremal discs, and also has intrinsic interest.
openaire   +3 more sources

ON SOME NEW PROJECTION THEOREMS AND SHARP ESTIMATES IN HERZ TYPE SPACES IN BOUNDED PSEUDOCONVEX DOMAINS [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018
We prove new projection theorems for new Herz type spaces in various domains in Cn in the unit disk, unit ball, bounded pseudoconvex domains and based on these results we provide sharp estimates for distances in such type spaces under one condition on ...
R. F. Shamoyan, A. N. Shipka
doaj  

Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains [PDF]

Mathematische Zeitschrift, 2017
We prove that for a strongly pseudoconvex domain $$D\subset \mathbb {C}^n$$D⊂Cn, the infinitesimal Carathéodory metric $$g_C(z,v)$$gC(z,v) and the infinitesimal Kobayashi metric $$g_K(z,v)$$gK(z,v) coincide if z is sufficiently close to bD and if v is ...
Filippo Bracci, J. Fornæss, E. F. Wold
semanticscholar   +1 more source

On Carleman and observability estimates for wave equations on time‐dependent domains

Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019
Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
wiley   +1 more source

Smoothness to the Boundary of Biholomorphic Mappings

International Journal of Analysis and Applications, 2015
Under a plausible geometric hypothesis, we show that a biholomorphic mappingof smoothly bounded, pseudoconvex domains extends to a diffeomorphism of the closures.
Steven G. Krantz
doaj   +2 more sources

Spectra of subnormal pairs [PDF]

Opuscula Mathematica, 2007
In this short note we present an example related to joint spectra of subnormal pairs of bounded operators. A counterexample to the equality between Taylor's spectrum and the closure of the defect spectrum is given. This example is related to the author's
Krzysztof Rudol
doaj