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 prove a Schwarz-Pick lemma for the modulus of holomorphic mappings from the polydisk into the unit ball. This result extends some related results. 相似文献
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Nikolai Nikolov Pascal J. Thomas 《Journal of Mathematical Analysis and Applications》2010,367(2):710-712
We find all matrices A from the spectral unit ball Ωn such that the Lempert function lΩn(A,⋅) is continuous. 相似文献
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Zhen-Han Tu 《Proceedings of the American Mathematical Society》2002,130(4):1035-1042
We prove that any proper holomorphic mapping between two equidimensional irreducible bounded symmetric domains with rank is a biholomorphism. The proof of the main result in this paper will be achieved by a differential-geometric study of a special class of complex geodesic curves on the bounded symmetric domains with respect to their Bergman metrics.
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In this paper, Schwarz-Pick estimates of arbitrary order partial derivatives for holomorphic mappings from the polydisk to the unit ball are presented. We generalize the early work on Schwarz-Pick estimates of higher order derivatives for bounded holomorphic functions on the unit disk and the polydisk. 相似文献
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Atsushi Hayashimoto 《复变函数与椭圆型方程》2020,65(3):423-439
ABSTRACTWe classify proper holomorphic mappings between generalized pseudoellipsoids of different dimensions. Those domains are parametrized by the exponents. The relations among them are also obtained. Main tool is the orthogonal decomposition of a CR bundle. Such a decomposition derives the ‘variable-splitting’ of the mapping. 相似文献
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《中国科学A辑(英文版)》2008,(1)
It is proved that every proper holomorphic self-map of a smooth bounded Reinhardt domain in C~2 is an automorphism. 相似文献
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Nabil Ourimi 《Proceedings of the American Mathematical Society》2000,128(3):831-836
In the present paper, we generalize Wong-Rosay's theorem for proper holomorphic mappings with bounded multiplicity. As an application, we prove the non-existence of a proper holomorphic mapping from a bounded, homogenous domain in onto a domain in whose boundary contains strongly pseudoconvex points.
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It is proved that every proper holomorphic self-map of a smooth bounded Reinhardt domain in ℂ2 is an automorphism.
The first author’s work was supported in part by the National Natural Science Foundation of China (Grant No. 10571135) and
the Doctoral Program Foundation of the Ministry of Education of China (Grant No. 20050240711) 相似文献
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The bounded approximation property for spaces of holomorphic mappings on infinite dimensional spaces
Erhan alkan 《Mathematische Nachrichten》2006,279(7):705-715
We study the bounded approximation property for spaces of holomorphic functions. We show that if U is a balanced open subset of a Fréchet–Schwartz space or (DFM )‐space E , then the space ??(U ) of holomorphic mappings on U , with the compact‐open topology, has the bounded approximation property if and only if E has the bounded approximation property. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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In this article, we present a Schwarz lemma at the boundary for pluriharmonic mappings from the unit polydisk to the unit ball, which generalizes classical Schwarz lemma for bounded harmonic functions to higher dimensions. It is proved that if the pluriharmonic mapping f ∈ P(D~n, B~N) is C~(1+α) at z0 ∈ E_rD~n with f(0) = 0 and f(z_0) = ω_0∈B~N for any n,N ≥ 1, then there exist a nonnegative vector λ_f =(λ_1,0,…,λ_r,0,…,0)~T∈R~(2 n)satisfying λ_i≥1/(2~(2 n-1)) for 1 ≤ i ≤ r such that where z'_0 and w'_0 are real versions of z_0 and w_0, respectively. 相似文献
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We prove that if F is a holomorphic map from the open spectralunit ball of a primitive Banach algebra into itself satisfyingF(0) = 0, F' (0) = I and F(x) x = xF(x) for every x, then Fis the identity map. Using this, we prove that if is a semisimpleBanach algebra and is a primitive Banach algebra, then anyunital spectral isometry from onto which locally preservescommutativity is a Jordan morphism. The same is true when and are both assumed to be von Neumann algebras. 相似文献
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The Fock–Bargmann–Hartogs domain Dn,m(μ) (μ>0) in Cn+m is defined by the inequality ‖w‖2<e−μ‖z‖2, where (z,w)∈Cn×Cm, which is an unbounded non-hyperbolic domain in Cn+m. Recently, Yamamori gave an explicit formula for the Bergman kernel of the Fock–Bargmann–Hartogs domains in terms of the polylogarithm functions and Kim–Ninh–Yamamori determined the automorphism group of the domain Dn,m(μ). In this article, we obtain rigidity results on proper holomorphic mappings between two equidimensional Fock–Bargmann–Hartogs domains. Our rigidity result implies that any proper holomorphic self-mapping on the Fock–Bargmann–Hartogs domain Dn,m(μ) with m≥2 must be an automorphism. 相似文献
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Mark Elin Marina Levenshtein Simeon Reich David Shoikhet 《Proceedings of the American Mathematical Society》2008,136(12):4313-4320
We present a rigidity property of holomorphic generators on the open unit ball of a Hilbert space . Namely, if is the generator of a one-parameter continuous semigroup on such that for some boundary point , the admissible limit - , then vanishes identically on .
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Marina Levenshtein Simeon Reich 《Nonlinear Analysis: Theory, Methods & Applications》2009,70(12):4145-4150
We approximate fixed points of holomorphic and ρ-nonexpansive self-mappings of the Hilbert ball using both continuous and discrete schemes. 相似文献