Results 71 to 80 of about 897 (167)

A characterization of certain weakly pseudoconvex domains

, 1999
By making use of well-known extension theorems on holomorphic mappings and CR-mappings and applying Webster's CR-invariant metrics, we give a characterization of certain weakly pseudoconvex domains from the viewpoint of biholomorphic automorphism groups ...
20111320, 12597, 児玉, 秋雄, Kodama, Akio   +3 more
core   +1 more source

Compactness of commutators of Toeplitz operators on q-pseudoconvex domains

Electronic Journal of Differential Equations, 2018
Let $\Omega$ be a bounded q-pseudoconvex domain in $\mathbb{C}^n$, $n \geq 2$ and let $1 \leq q \leq n-1$. If $\Omega$ is smooth, we find sufficient conditions for the $\overline\partial$-Neumann operator to be compact.
Sayed Saber
doaj  

Compactness of the Complex Green Operator on C¹ Pseudoconvex Boundaries in Stein Manifolds

Mathematics
We study compactness for the complex Green operator Gq associated with the Kohn Laplacian □b on boundaries of pseudoconvex domains in Stein manifolds. Let Ω⋐X be a bounded pseudoconvex domain in a Stein manifold X of complex dimension n with C1 boundary.
Abdullah Alahmari, Emad Solouma, Marin Marin, A. F. Aljohani, Sayed Saber   +4 more
doaj   +1 more source

An integral kernel for weakly pseudoconvex domains [PDF]

Mathematische Annalen, 2012
A new explicit construction of Cauchy-Fantappié kernels is introduced for an arbitrary weakly pseudoconvex domain with smooth boundary. While not holomorphic in the parameter, the new kernel reflects the complex geometry and the Levi form of the boundary.
openaire   +3 more sources

Biholomorphic mappings between weakly pseudoconvex domains

, 1978
Assume we have a biholomorphic mapping between weakly pseudoconvex domains. It is an old question whether this extends to a diffeomorphism between their closures.
John Erik Fornaess
core  

Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains

, 2011
We characterize, using the Bergman kernel, Carleson measures of Bergman spaces in strongly pseudoconvex bounded domains in C^n, generalizing to this setting theorems proved by Duren and Weir for the unit ball.
ABATE, MARCO, Alberto Saracco, M. Abate, Marco Abate, SARACCO, Alberto, Saracco A.   +5 more
core   +1 more source

Holder and Lp estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains [PDF]

, 1990
Let D a bounded strictly pseudoconvex non-smooth domain in C'. In this paper we prove that the estimates in Lp and Lipschitz classes for the solutions of the ∂-equation with Lp-data in regular strictly pseudoconvex domains (see[2]) are also valid for D .
J. M. Burgués, Burgués i Badia, Josep Ma   +1 more
core   +1 more source

Worm Domains are not Gromov Hyperbolic. [PDF]

J Geom Anal, 2023
Arosio L, Dall'Ara GM, Fiacchi M.
europepmc   +1 more source

The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]

Arch Ration Mech Anal, 2023
Holzegel G, Shao A.
europepmc   +1 more source

Kolodziej's subsolution theorem for unbounded pseudoconvex domains

, 2015
In this paper we generalize Ko lodziej's subsolution theorem to bounded and unbounded pseudoconvex domains, and in that way we are able to solve complex Monge_Amp±re equations on general pseudoconvex domains.
Czyż, Rafał, Åhag, Per
core