Results 61 to 70 of about 1,775 (74)
On Toeplitz operators associated with strongly pseudoconvex domains [PDF]
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Toeplitz operators on strongly pseudoconvex domains in Stein spaces
Sato, Hajime, Yabuta, Kôzô
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COHOMOLOGY VANISHING THEOREMS ON INTERSECTIONS OF STRONGLY PSEUDOCONVEX DOMAINS
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COHOMOLOGY VANISHING THEOREMS ON INTERSECTIONS OF STRONGLY PSEUDOCONVEX DOMAINS
application/pdf 論文(Article)
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A docquier-Grauert lemma for strongly pseudoconvex domains in complex manifolds
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Volume Approximations of Strongly Pseudoconvex Domains
The Journal of Geometric Analysis, 2016In affine convex geometry, the volume approximation of a \(C^2\)-smooth convex body by polyhedra with at most \(n\) facets can be asymptotically estimated by \(n^{-2/(d-1)}\) times \((d+1)/(d-1)\)-th power of the integral of the Blaschke surface area measure on the boundary of the convex body. In this article, the author studies the complex analogue of
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On Bergman type projections in bounded strongly pseudoconvex domains
ADYGHE INTERNATIONAL SCIENTIFIC JOURNAL, 2023In our note we prove the boundedness of Bergman type projections in two different spaces of analytic functions with mixed norm in general bounded strongly pseudoconvex domains with smooth boundary.The first class of analytic functions was studied previously by many authors,the second function space hovewer is completely new.
R. F. Shamoyan, E. B. Tomashevskaya
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Variations of Kähler–Einstein metrics on strongly pseudoconvex domains
Mathematische Annalen, 2014This paper studies the variation behaviour of Kähler-Einstein metrics on bounded pseudoconvex domains. Let \(\pi: \mathbb{C}^{n}\times \mathbb{C}^{m} \rightarrow \mathbb{C}^{m}\), \(\pi(z,s)=s\), be the projection on the second factor, and let \(D\) be a smooth domain in \(\mathbb{C}^{n}\times \mathbb{C}^{m}\).
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Strongly pseudoconvex homogeneous domains in almost complex manifolds
Journal für die reine und angewandte Mathematik (Crelles Journal), 2008Let \((M,J)\) be an almost complex manifold. A biholomorphism of \(M\) is a smooth map \(f: M \rightarrow M\) such that \(J \circ df = df \circ J\). If \(\rho\) is a \(C^2\) function on \(M\) its \(J\)-Levi form is defined as \( \mathcal{L} ^J \rho (v) = - d (J^*d\rho) (v, Jv)\). If \(\Omega \subset M\) is a domain, we say that \(p\in \partial \Omega\)
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