bloch function meaning in Chinese
布洛赫函数
Examples
- We discuss the distribution of zeros of the derivative of bloch functions whose derivative has zeros with multiplicity at least n , and improve the result of ahlfors , liu and minda about the lower bound of bloch constants bn related to these functions
通过研究导函数零点重级至少为n的bloch函数的导函数零点的分布,改进了ahlfors 、 liu和minda关于这类函数的bloch常数b _ n的下界,得到结果:二、 bloch空间上的复合算子。 - Second , we discuss composition operators on bloch space with closed range . by using a distortion theorem of bonk , minda and yanagihara about bloch functions , we obtain the sharp estimation of the lipschitz continuity of the dilation of bloch functions . then , we improve a theorem of ghatage , yan and zheng about composition operators on bloch space with closed range
其次研究了bloch空间上有闭值域的复合算子,先利用bonk 、 minda和yanagihara关于bloch函数的一个偏差定理,得到bloch函数伸缩率的lipschitz连续性的精确估计式,用这个估计式改进了ghatage 、 yan和zheng关于bloch空间上关于有闭值域的复合算子的一个定理。 - In this thesis , we consider the following three aspects : first , we compute the bergman kernel functions with explicit formulas on generalized hna domains ; second , we obtain the explicit formulas for extremal maps and extremal values between the ball and the super - cartan domain of the first type ; finally , we give sufficient conditions and necessary conditions that holomorphic functions become bloch functions on super - cartan domains
在这篇论文中,我们讨论了三个方面的内容:第一部分我们给出了四类广义华罗庚域的bergman核函数的显表达式;第二部分我们得到了第一类超cartan域与单位超球间的极值与极值映照;第三部分我们给出了四类超cartan域上全纯函数是bloch函数的充分条件与必要条件。