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COHOMOLOGY VANISHING THEOREMS ON INTERSECTIONS OF STRONGLY PSEUDOCONVEX DOMAINS

open access: yesBulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1974
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COHOMOLOGY VANISHING THEOREMS ON INTERSECTIONS OF STRONGLY PSEUDOCONVEX DOMAINS

open access: yesCOHOMOLOGY VANISHING THEOREMS ON INTERSECTIONS OF STRONGLY PSEUDOCONVEX DOMAINS
application/pdf 論文(Article)
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Some of the next articles are maybe not open access.

Volume Approximations of Strongly Pseudoconvex Domains

The Journal of Geometric Analysis, 2016
In 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, 2023
In 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, 2014
This 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), 2008
Let \((M,J)\) 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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