共查询到6条相似文献,搜索用时 0 毫秒
1.
Miroslav Engliš 《复变函数与椭圆型方程》2015,60(12):1712-1726
We obtain a formula for the Sobolev inner product in standard weighted Bergman spaces of holomorphic functions on a bounded symmetric domain in terms of the Peter–Weyl components in the Hua–Schmidt decomposition, and use it to clarify the relationship between the analytic continuation of these standard weighted Bergman spaces and the Sobolev spaces on bounded symmetric domains. 相似文献
2.
We give a definition of Bloch space on bounded symmetric domains in arbitrary complex Banach space and prove such function
space is a Banach space. The properties such as boundedness, compactness and closed range of composition operators on such
Bloch space are studied.
Dedicated to Professor Sheng GONG on the occasion of his 75th birthday 相似文献
3.
Soji Kaneyuki 《中国科学A辑(英文版)》2005,48(Z1)
Symmetric spaces of Cayley type are a higher dimensional analogue of a one-sheeted hyperboloid in R3. They form an important class of causal symmetric spaces. To a symmetric space of Cayley type M, one can associate a bounded symmetric domain of tube type D. We determine the full causal automorphism group of M. This clarifies the relation between the causal automorphism group and the holomorphic automorphism group of D. 相似文献
4.
DENG Fangwen & OUYANG Caiheng Wuhan Institute of Physics Mathematics Chinese Academy of Sciences Wuhan China 《中国科学A辑(英文版)》2006,(11)
We give a definition of Bloch space on bounded symmetric domains in arbitrary complex Banach space and prove such function space is a Banach space. The properties such as boundedness, compactness and closed range of composition operators on such Bloch space are studied. 相似文献
5.
Jorge Mujica Paula Takatsuka 《Proceedings of the American Mathematical Society》2007,135(4):1141-1144
We show that if is a starlike domain in a Banach space and is a family of holomorphic functions on that omit two distinct values and is bounded at the origin, then is uniformly bounded on each -bounded set.
6.
In the spirit of the classical random central limit theorem a general limit theorem for random stopping in the scheme of infinitesimal triangular arrays on a separable metrizable group is presented. The approach incorporates and generalizes earlier results for normalized sequences of independent random variables on both separable Banach spaces and simply connected nilpotent Lie groups originated by Siegel and Hazod, respectively. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献