Results 61 to 70 of about 579 (168)

Holomorphic sectional curvature of some pseudoconvex domains

, 1989
The holomorphic sectional curvatures in the Bergman metric of a smooth bounded pseudoconvex domain in C 2 {{\mathbf {C}}^2} are shown to be bounded in ...
Jeffery D. McNeal
core   +1 more source

On some extremal problems in Bergman spaces in weakly pseudoconvex domains [PDF]

, 2018
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\mathbb {C}^{n}$ based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_{\alpha }^{p}$ in such type
Mihić, Olivera R., Mihić, Olivera, Shamoyan, Romi F.   +2 more
core   +1 more source

Variations of pseudoconvex domains

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1983
A connected Hausdorff space E together with a locally homeomorphic map \(\pi\) of E to \({\mathbb{R}}^ m\) is called an unramified covering domain over the space \({\mathbb{R}}^ m\). Suppose D is such a domain and \(D_ p\) is a sequence of relatively compact subdomains of D such that \(x^ 0\in D_ 1\), \(D_ p\subset D_{p+1}\), \(\cup^{\infty}_{p=1}D_ p ...
openaire   +3 more sources

Peak points, barriers and pseudoconvex boundary points

, 1977
Let x be a smooth boundary point of a domain in C n {{\mathbf {C}}^n} . It is shown that x is a limit of strictly pseudoconvex boundary points whenever there
Richard F. Basener
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  

On Pseudoconvex Domains in $\mathbf{P}^n$

Tokyo Journal of Mathematics, 1998
Let \(\Omega\) be a domain in \(\mathbb{C}\mathbb{P}^n\) and let \(K_\Omega\) be its Bergman kernel with respect to the Fubiny-Study metric. The authors prove first a localization principle for \(K_\Omega\). This can be stated as follows: assume that \(\Omega\) is pseudoconvex and that its complement has non-void interior. Then, given a point \(x\) in \
DIEDERICH, Klas, OHSAWA, Takeo
openaire   +3 more sources

Geometry of analytic continuation on complex manifolds – history, survey, and report

Complex Manifolds
Beginning with the state of art around 1953, solutions of the Levi problem on complex manifolds will be recalled at first up to Takayama’s result in 1998.
Ohsawa Takeo
doaj   +1 more source

H^p Extensions of Holomorphic Functions from Submanifolds of a Strictly Pseudoconvex Domain with Non-Smooth Boundary [PDF]

, 2007
We prove H^p ...
Adachi, Kenzo
core  

Boundary Asymptotics for Convex and Strongly Pseudoconvex Domains [PDF]

, 2021
We present two results. The first is a converse to a theorem first proved by Wongwhich says the ratio of intrinsic measures approaches 1 near the boundary of a strongly pseudoconvex domain; we show that for a particular type of domain the boundary is ...
Martin, Alec
core  

On the boundary behavior of the holomorphic sectional curvature of the Bergman metric

Le Matematiche, 2006
We obtain a conceptually new differential geometric proof of P. F. Klembeck’s result (cf. [9]) that the holomorphic sectional curvature k g (z ) of the Bergman metric of a strictly pseudoconvex domain Ω ⊂ ℂ n approaches −4/(n + 1 ...
Elisabetta Barletta
doaj