共查询到20条相似文献,搜索用时 15 毫秒
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In this paper we give an introduction to the notion of meromorphic transform. We describe some equidistribution problems and their solution, using the ddc-method. In particular, we give some statistical properties of the equilibrium measure for meromorphic maps on compact Kähler manifolds: K-mixing, exponential decay of correlations and central limit theorem.
相似文献2.
In this paper we give an introduction to the notion of meromorphic transform. We describe some equidistribution problems and their solution, using the ddc-method. In particular, we give some statistical properties of the equilibrium measure for meromorphic maps on compact Kähler manifolds: K-mixing, exponential decay of correlations and central limit theorem. 相似文献
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We discuss a class of complete Kaler manifolds which are asymptotically complex hyperbolic near infinity. The main result is vanishing theorems for the second L2 cohomology of such manifolds when it has positive spectrum. We also generalize the result the weighted function p is of sub-quadratic growth of the distance function. We also obtain inequality. 相似文献
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Zbigniew Blocki 《中国科学A辑(英文版)》2005,48(Z1)
We show that the uniform estimate in the Calabi-Yau theorem easily follows from the local stability of the complex Monge-Ampere equation. 相似文献
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Shing-Tung Yau 《中国科学A辑(英文版)》2005,48(Z1)
This paper reviews the brief history of complex geometry and looks into its future. 相似文献
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Ha Huy Khoai 《中国科学A辑(英文版)》2005,48(Z1)
In this paper we relate the study of unique range sets for meromorphic functions (URSM) with the hyperbolic hypersurfaces and give some remarks on the genericity of unique range sets for meromorphic functions. 相似文献
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Pham Hoang Hiep 《Proceedings of the American Mathematical Society》2008,136(6):2007-2018
The main aim of the present note is to study the convergence in on a compact Kahler mainfold . The obtained results are used to study global extremal functions and describe the -pluripolar hull of an -pluripolar subset in .
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Xiaoli Chao Ranran Chen 《逼近论及其应用》2008,(3):292-302
We discuss a class of complete Kaihler manifolds which are asymptotically complex hyperbolic near infinity. The main result is vanishing theorems for the second L2 cohomology of such manifolds when it has positive spectrum. We also generalize the result to the weighted Poincare inequality case and establish a vanishing theorem provided that the weighted function p is of sub-quadratic growth of the distance function. We also obtain a vanishing theorem of harmonic maps on manifolds which satisfies the weighted Poincare inequality. 相似文献
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Mingliang Fang 《中国科学A辑(英文版)》1999,42(4):367-381
The uniqueness of admissible meromorphic functions in the unit disc is studied.
Project supported by the National Natural Science Foundation of China (Grant No. 19601021). 相似文献
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In this article, we prove a degeneracy theorem for three linearly non-degenerate meromorphic mappings from C n into P N (C), sharing 2N + 2 hyperplanes in general position, counted with multiplicities truncated by 2. 相似文献
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本文研究了亚纯函数族涉及复合有理函数与分担亚纯函数的正规性. 证明了一个正规定则:设 α(z) 和 F 分别是区域 D 上的亚纯函数与亚纯函数族, R(z) 是一个次数不低于 3 的有理函数.如果对族 F 中函数 f(z) 和 g(z), R○f(z) 和 R○g(z) 分担 α(z) IM,并且下述 条件之一成立:
(1) 对任何 z0 ∈ D, R(z)-α(z0) 有至少三个不同的零点或极点;
(2) 存在 z0 ∈ D 使得 R(z)-α(z0):=(z-β0)pH(z) 至多有两个零点(或极点) β0,同时 k ≠ l|p|,其中 l 和 k 分别是 f(z)-β0 和 α(z)-α(z0) 在 z0 处的零点重数, H(z) 是满足 H(β0) ≠ 0, ∞ 的有理函数, α(z) 非常数并满足 α(z0) ∈ C ∪{∞}.
那么 F 在 D 内正规.特别地,这个结果是著名的 Montel 正规定则的一种推广. 相似文献
(1) 对任何 z0 ∈ D, R(z)-α(z0) 有至少三个不同的零点或极点;
(2) 存在 z0 ∈ D 使得 R(z)-α(z0):=(z-β0)pH(z) 至多有两个零点(或极点) β0,同时 k ≠ l|p|,其中 l 和 k 分别是 f(z)-β0 和 α(z)-α(z0) 在 z0 处的零点重数, H(z) 是满足 H(β0) ≠ 0, ∞ 的有理函数, α(z) 非常数并满足 α(z0) ∈ C ∪{∞}.
那么 F 在 D 内正规.特别地,这个结果是著名的 Montel 正规定则的一种推广. 相似文献
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Volker Mayer 《Mathematische Nachrichten》2009,282(8):1189-1194
We give a lower bound of the hyperbolic and the Hausdorff dimension of the Julia set of meromorphic functions of finite order under very general conditions (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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LANGLEY J. K. 《中国科学 数学(英文版)》2010,(3)
We determine all real meromorphic functions f in the plane such that f has finitely many zeros, the poles of f have bounded multiplicities, and f and F have finitely many non-real zeros, where F is a linear differential polynomial given by F = f (k) +Σk-1j=0ajf(j) , in which k≥2 and the coefficients aj are real numbers with a0≠0. 相似文献