Solutions to $ar{partial}$-equations on strongly pseudo-convex domains with $L^p$-estimates
Electronic Journal of Differential Equations, 2004 We construct a solution to the $ar{partial}$-equation on a strongly pseudo-convex domain of a complex manifold. This is done for forms of type $(0,s)$, $sgeq 1 $, with values in a holomorphic vector bundle which is Nakano positive and for complex valued ...
Osama Abdelkader, Shaban Khidr
doaj
Curvature strict positivity of direct image bundles associated to pseudoconvex families of domains [PDF]
, 2022 Fusheng Deng, Jinjin Hu, Xiangsen Qin
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Kähler–Einstein metrics on strictly pseudoconvex domains [PDF]
Annals of Global Analysis and Geometry, 2012 The metrics of S. Y. Cheng and S.-T. Yau are considered on a strictly pseudoconvex domains in a complex manifold. Such a manifold carries a complete K hler-Einstein metric if and only if its canonical bundle is positive. We consider the restricted case in which the CR structure on $\partial M$ is normal. In this case M must be a domain in a resolution
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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
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]
Arch Ration Mech Anal, 2023 Holzegel G, Shao A.
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Fefferman's mapping theorem on almost complex manifolds
, 2004 We give a necessary and sufficient condition for the smooth extension of a diffeomorphism between smooth strictly pseudoconvex domains in four real dimensional almost complex manifolds.
Coupet, Bernard +2 more
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Local regularity of the Bergman projection on a class of pseudoconvex domains of finite type
, 2015 The purpose of this paper is to prove $L^p$-Sobolev and H\"older estimates for the Bergman projection on a class of pseudoconvex domains that admit a "good" dilation and satisfy Bell-Ligocka's Condition R. We prove that this class of domains includes the
Khanh, Tran Vu, Raich, Andrew
core
Toeplitz operators and related function algebras on certain pseudoconvex domains [PDF]
, 1979 Nicholas P. Jewell, Steven G. Krantz
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The Zeros of Holomorphic Functions in Strictly Pseudoconvex Domains [PDF]
, 1975 Lawrence Gruman
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The Wong-Rosay type theorem for K\"ahler manifolds
, 2014 The Wong-Rosay theorem characterizes the strongly pseudoconvex domains of $\mathbb{C}^n$ by their automorphism groups. It has a lot of generalizations to other kinds of domains (for example, the weakly pseudoconvex domains). However, most of them are for
Liu, Bingyuan
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