Results 61 to 70 of about 10,275,715 (164)

Pseudoconvex domains with peak functions at each point of the boundary [PDF]

open access: yesPacific Journal of Mathematics, 1988
Let D be a bounded pseudoconvex domain in \({\mathbb{C}}^ n\) with \(C^{\infty}\) boundary and let \(A^{\infty}(D)\) be the algebra of holomorphic functions in D which have a \(C^{\infty}\) extension to \=D. If D is strictly pseudoconvex, it is a very known result of H. Rossi that each point of the boundary is a peak point for \(A^{\infty}(D)\).
openaire   +4 more sources

Worm Domains are not Gromov Hyperbolic. [PDF]

open access: yesJ Geom Anal, 2023
Arosio L, Dall'Ara GM, Fiacchi M.
europepmc   +1 more source

Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions

open access: yesInventiones Mathematicae, 1977
The complex analysis of strictly pseudoconvex domains in IE" is rather well known, especially since the boundary regularity properties of solutions of the inhomogeneous Cauchy-Riemann equations 8c~=fl on such domains have been described more and more precisely and important consequences from this have been derived (for a survey of the results in this ...
DIEDERICH, K., Fornaess, J.E.
openaire   +2 more sources

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