Results 171 to 180 of about 2,775,649 (193)

Compactness of Hankel Operators with Symbols Continuous on the Closure of Pseudoconvex Domains

Integral equations and operator theory, 2018
Let $$\Omega $$Ω be a bounded pseudoconvex domain in $${\mathbb {C}}^2$$C2 with Lipschitz boundary or a bounded convex domain in $${\mathbb {C}}^n$$Cn and $$\phi \in C(\overline{\Omega })$$ϕ∈C(Ω¯) such that the Hankel operator $$H_{\phi }$$Hϕ is compact ...
Timothy G. Clos, Mehmet Çelik, Sonmez Sahutoglu   +2 more
semanticscholar   +1 more source

The Neumann Problem for the k-Cauchy–Fueter Complex over k-Pseudoconvex Domains in $$\mathbb {R}^4$$R4 and the $$L^2$$L2 Estimate

, 2017
The k-Cauchy–Fueter operator and complex are quaternionic counterparts of the Cauchy–Riemann operator and the Dolbeault complex in the theory of several complex variables, respectively. To develop the function theory of several quaternionic variables, we
Wei Wang
semanticscholar   +1 more source

On hyperbolicity of pseudoconvex Reinhardt domains

Archiv der Mathematik, 1999
A Reinhardt domain is a subset \(D\) of \(n-\)dimensional complex space \(C^n\) such that for all \(z=(z_1,\dots,z_n)\in D\) and \(|\lambda_1|=\dots=|\lambda_n|=1\), we have \((|\lambda_1|z_1, \dots,|\lambda_n|z_n)\in D\). The author gives a characterization of Kobayashi hyperbolicity for pseudo-convex Reinhardt domains. He proves that such a domain is
openaire   +3 more sources

Approximation on Pseudoconvex Domains

1980
Here we discuss some problems in approximation which are related to the problem of finding pseudoconvex neighborhoods. Since we omit various topics, we refer the reader to the articles of Birtel [4], Henkin and Chirka [16], and Wells [28].
John Erik Fornæss, Eric Bedford
openaire   +2 more sources

Boundary Invariants of Pseudoconvex Domains

The Annals of Mathematics, 1984
Let \(\Omega \subseteq {\mathbb{C}}^ n\) be a smoothly bounded pseudoconvex domain. A notion of multitype of a point \(P\in \partial \Omega\) is introduced. This term is defined in terms of directional derivatives of a defining function for \(\partial \Omega\).
openaire   +2 more sources

Precise estimates of invariant distances on strongly pseudoconvex domains

Advances in Mathematics, 2023
Lukasz Kosi'nski, N. Nikolov, Ahmed Yekta Okten   +2 more
semanticscholar   +1 more source

An Estimate for the Bergman Distance on Pseudoconvex Domains

The Annals of Mathematics, 1995
Let \(D\) be a bounded pseudoconvex domain in \(\mathbb{C}^n\). Let \(\delta_D (z)\) denote the euclidean distance from \(z\) to the boundary of \(D\), and let \(\text{dist}_D (z,w)\) denote the Bergman distance between \(z\) and \(w\) with respect to \(D\).
Klas Diederich, Takeo Ohsawa
openaire   +2 more sources

The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains

Complex Analysis and Operator Theory, 2021
N. X. Hong, P. T. Lieu
semanticscholar   +1 more source

Hölder estimates for homotopy operators on strictly pseudoconvex domains with $$C^2$$C2 boundary

, 2017
We derive a new homotopy formula for a strictly pseudoconvex domain of $$C^2$$C2 boundary in $${\mathbf C}^n$$Cn by using a method of Lieb and Range and obtain estimates in Lipschitz spaces for the homotopy operators.
Xianghong Gong
semanticscholar   +1 more source

On pseudoconvexity of Reinhardt domains

1996
Für Reinhardt'sche Gebiete im \(\mathbb{C}^2\) wird der Zusammenhang zwischen Pseudokonvexität und logarithmischer Konvexität diskutiert.
M. Landucci, SPIRO, Andrea
openaire   +2 more sources