Sobolev regularity of the Bergman projection on certain pseudoconvex domains
In this paper we study the Sobolev regularity of the Bergman projection B and the ∂ ¯ -Neumann operator N on a certain pseudoconvex domain. We show that if Ω is a domain with Lipschitz boundary, which is relatively compact in an n -dimensional compact ...
S. Saber
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Gromov hyperbolicity of pseudoconvex finite type domains in $${\mathbb {C}}^2$$ [PDF]
Matteo Fiacchi
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Kähler–Einstein metrics on strictly pseudoconvex domains [PDF]
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]
Arosio L, Dall'Ara GM, Fiacchi M.
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Pseudoconvex regions of finite D'Angelo type in four dimensional almost complex manifolds
Let D be a J-pseudoconvex region in a smooth almost complex manifold (M,J) of real dimension four. We construct a local peak J-plurisubharmonic function at every boundary point p of finite D'Angelo type.
Bertrand, Florian
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Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds. [PDF]
Hsiao CY, Marinescu G, Wang H.
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The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]
Holzegel G, Shao A.
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A method of potential scaling in the study of pseudoconvex domains with noncompact automorphism group [PDF]
Kang-Hyurk Lee
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On convex hulls and pseudoconvex domains generated by $q$-plurisubharmonic functions, part III [PDF]
Thomas Pawlaschyk, Eduardo S. Zeron
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Asymptotic boundary behavior of the Bergman curvatures of a pseudoconvex domain [PDF]
Sungmin Yoo
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