Results 51 to 60 of about 133 (128)
Variations of pseudoconvex domains
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1983 A connected Hausdorff space E together with a locally homeomorphic map \(\pi\) of E to \({\mathbb{R}}^ m\) is called an unramified covering domain over the space \({\mathbb{R}}^ m\). Suppose D is such a domain and \(D_ p\) is a sequence of relatively compact subdomains of D such that \(x^ 0\in D_ 1\), \(D_ p\subset D_{p+1}\), \(\cup^{\infty}_{p=1}D_ p ...
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On Pseudoconvex Domains in $\mathbf{P}^n$
Tokyo Journal of Mathematics, 1998 Let \(\Omega\) be a domain in \(\mathbb{C}\mathbb{P}^n\) and let \(K_\Omega\) be its Bergman kernel with respect to the Fubiny-Study metric. The authors prove first a localization principle for \(K_\Omega\). This can be stated as follows: assume that \(\Omega\) is pseudoconvex and that its complement has non-void interior. Then, given a point \(x\) in \
DIEDERICH, Klas, OHSAWA, Takeo
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On functional analytic approach for corona and Gleason’s problems for holomorphic Lipschitz algebras
Extracta MathematicaeWe study Lipschitz algebras of holomorphic functions of the order k, 0 ≤ k ≤ ∞, and the exponent α, α ∈ (0, 1]. The Gel’fand theory and maximal ideal spaces of these algebras are discussed.
S.R. Patel
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Rigid characterizations of pseudoconvex domains [PDF]
Indiana University Mathematics Journal, 2012 v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are ...
Nikolov, Nikolai, Thomas, Pascal J.
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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
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Compactness of commutators of Toeplitz operators on q-pseudoconvex domains
Electronic Journal of Differential Equations, 2018 Let $\Omega$ be a bounded q-pseudoconvex domain in $\mathbb{C}^n$, $n \geq 2$ and let $1 \leq q \leq n-1$. If $\Omega$ is smooth, we find sufficient conditions for the $\overline\partial$-Neumann operator to be compact.
Sayed Saber
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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.
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Compactness of the Complex Green Operator on C1 Pseudoconvex Boundaries in Stein Manifolds
MathematicsWe study compactness for the complex Green operator Gq associated with the Kohn Laplacian □b on boundaries of pseudoconvex domains in Stein manifolds. Let Ω⋐X be a bounded pseudoconvex domain in a Stein manifold X of complex dimension n with C1 boundary.
Abdullah Alahmari +4 more
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Worm Domains are not Gromov Hyperbolic. [PDF]
J Geom Anal, 2023 Arosio L, Dall'Ara GM, Fiacchi M.
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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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