Solutions of Cauchy-Riemann equations on pseudoconvex domain with nonsmooth boundary
, 1995 We want to prove global regularity of the $\bar\partial$-Problem on pseudoconvex domains in $\doubc\sp{n}$ with $C\sp2$ boundary. First of all, we prove estimates of a solution for pseudoconvex domains with smooth boundaries by studying precisely the ...
Yie, Seongan Lim
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Some aspects of the Kobayashi and Caratheodory metrics on pseudoconvex domains
, 2012 The purpose of this article is to consider two themes, both of which emanate from and involve the Kobayashi and the Caratheodory metric. First, we study the biholomorphic invariant introduced by B.
Mahajan, Prachi, Verma, Kaushal
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Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complete pseudoconvex Reinhardt domains [PDF]
, 2017 summary:On complete pseudoconvex Reinhardt domains in $\mathbb {C}^2$, we show that there is no nonzero Hankel operator with anti-holomorphic symbol that is Hilbert-Schmidt. In the proof, we explicitly use the pseudoconvexity property of the domain.
Yunus E.~Zeytuncu +3 more
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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
Visible C 2 -smooth domains are pseudoconvex
6 pagesInternational audienceWe show that a domain that satisfies the visibility property with $\mathcal C^2$-smooth boundary is ...
Nikolov, Nikolai +2 more
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Sobolev space projections in strictly pseudoconvex domains
, 1985 The orthogonal projection from a Sobolev space W s ( Ω ) {W^s}(\Omega ) onto the subspace of holomorphic functions is studied.
Harold P. Boas
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Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces [PDF]
, 2018 We prove that all locally exposable points in a Stein compact in a complex space can be exposed along a given curve to a given real hypersurface. Moreover, the exposing map for a boundary point can be sufficiently close to the identity map outside any ...
Deng, Fusheng +5 more
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Worm Domains are not Gromov Hyperbolic. [PDF]
J Geom Anal, 2023 Arosio L, Dall'Ara GM, Fiacchi M.
europepmc +1 more source
Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds. [PDF]
J Geom Anal, 2022 Hsiao CY, Marinescu G, Wang H.
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Pseudoconvex domains: Diederich - Fornaess index and the invariant metrics near the boundary points [PDF]
, 2013 This Thesis deals with some problems related to the pseudoconvex domain. The first chapter presents some results on the theory on plurisubharmonic defining function. From the relation of the Diederich - Fornaess index with the estimate for \bar\partial -
Dau The, Phiet
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