Results 41 to 50 of about 1,824,075 (171)

Peak Points for Pseudoconvex Domains: A Survey [PDF]

Journal of Geometric Analysis, 2008
This paper surveys results concerning peak points for pseudoconvex domains. It includes results of Laszlo that have not been published elsewhere.
openaire   +2 more sources

Projected Composition Operators on Pseudoconvex Domains [PDF]

Integral Equations and Operator Theory, 2021
Let $Ω\subset \mathbb{C}^n$ be a smooth bounded pseudoconvex domain and $A^2 (Ω)$ denote its Bergman space. Let $P:L^2(Ω)\longrightarrow A^2(Ω)$ be the Bergman projection. For a measurable $φ:Ω\longrightarrow Ω$, the projected composition operator is defined by $(K_φf)(z) = P(f \circ φ)(z), z \inΩ, f\in A^2 (Ω).$ In 1994, Rochberg studied boundedness ...
openaire   +3 more sources

Locally m-pseudoconvex topologies on locally A-pseudoconvex algebras [PDF]

, 2004
summary:Let $(A, T )$ be a locally A-pseudoconvex algebra over $\mathbb{R}$ or $\mathbb{C}$. We define a new topology $m (T)$ on $A$ which is the weakest among all m-pseudoconvex topologies on $A$ stronger than $T$.
Abel, M., Arhippainen, J.
core   +1 more source

A Sheaf‐Theoretic CR Reduction for Levi‐Flat Manifolds Beyond the Kähler Setting

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper develops a sheaf‐theoretic reduction formalism for real‐analytic homogeneous CR manifolds realized as orbits in complex homogeneous manifolds. Let M = G0/H0 be such a CR manifold, let M↪X be a complex realization, and let π : X⟶Y be the holomorphic reduction of the ambient complex manifold.
Abdel Rahman Al-Abdallah, Shikha Binwal
wiley   +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

Rigid characterizations of pseudoconvex domains

, 2011
v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are changed. To appear in Indiana University Mathematics Journal.International audienceWe prove that an open set $D$ in $C^n$ is pseudoconvex if and only if for any $zin D ...
Nikolov, Nikolai, Nikolai Nikolov, Pascal J. Thomas, Thomas, Pascal J.   +3 more
core   +1 more source

A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary [PDF]

, 2018
In recent work by Zimmer it was proved that if Ω ⊂ C n is a bounded convex domain with C ∞-smooth boundary, then Ω is strictly pseudoconvex provided that the squeezing function approaches one as one approaches the boundary. We show that this result fails
Fornæss, John Erik, Wold, Erlend Fornæss   +1 more
core   +1 more source

On uniqueness of solutions to complex Monge–Ampère mean field equations

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.
Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley   +1 more source

A small boundary for 𝐻^{∞} on a strictly pseudoconvex domain

, 1985
Let n ⩾ 2 n \geqslant 2 and D ⊂⊂ C n D \subset \subset {{\mathbf {C}}^n}
Antonella Cupillari
core   +1 more source