Results 11 to 20 of about 4,423 (156)
Characterization of Radially Lower Semicontinuous Pseudoconvex Functions [PDF]
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Vsevolod I. Ivanov
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Pseudoconvex classes of functions. I. Pseudoconcave and pseudoconvex sets [PDF]
This is a joint review for parts I-III. Natural classes of subharmonic, plurisubharmonic, convex and q- plurisubharmonic functions have a number of common properties which can be reduced to several basic ones. Taking these as axioms, the author defines in Part I the general notion of a pseudoconvex class of functions.
Zbigniew Słodkowski
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The Zeros of Holomorphic Functions in Strictly Pseudoconvex Domains [PDF]
We determine a sufficient condition on a positive divisor in certain strictly pseudoconvex domains in C n {{\mathbf {C}}^n} such that there exists a function in the Nevanlinna class which determines the divisor.
Lawrence Gruman
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Comparison of invariant functions on strongly pseudoconvex domains [PDF]
It is shown that the Carath odory distance and the Lempert function are almost the same on any strongly pseudoconvex domain in $\C^n;$ in addition, if the boundary is $C^{2+\eps}$-smooth, then $\sqrt{n+1}$ times one of them almost coincides with the Bergman distance.
Николай Николов
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Some Characterizations of Bloch Functions on Strongly Pseudoconvex Domains [PDF]
This paper contains 3 characterisations of Bloch functions on smoothly bounded, strongly pseudoconvex domains in terms of invariant geometry, Bergman-Carleson measures and certain invariant random processes, respectively. This involves extending and modifying earlier work by \textit{J. Choa}, \textit{H. Kim} and \textit{Y. Park} [Bull. Korean Math. Soc.
Hitoshi Arai
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Pseudoconvex classes of functions. III. Characterization of dual pseudoconvex classes on complex homogeneous spaces [PDF]
Invariant classes of functions on complex homogeneous spaces, with properties similar to those of the class of plurisubharmonic functions, are studied. The main tool is a regularization method for these classes, and the main theorem characterizes dual classes of functions (where duality is defined in terms of the local maximum property).
Zbigniew Słodkowski
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On subvarieties of singular quotients of bounded domains
Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel +2 more
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Locally Conformally Flat Doubly Twisted Product Complex Finsler Manifolds
Let M1×λ1,λ2M2,F be a doubly twisted product manifold of two strongly pseudoconvex complex Finsler manifolds (M1, F1) and (M2, F2). In this study, we give a characterization of locally conformally flat doubly twisted product complex Finsler manifold.
Wei Xiao +4 more
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On defining functions for unbounded pseudoconvex domains [PDF]
86 pages, Comments are ...
Tobias Harz +2 more
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In this paper, an optimal control neural network algorithm is used to conduct an in‐depth study and analysis of the evaluation of elementary school urban‐rural exchange teachers, and an optimal control neural network evaluation model is designed and applied to the actual elementary school urban‐rural exchange process.
Ke Chen, Gengxin Sun
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