复单位球上线性分式复合算子的本性正规性——庆贺钟同德教授80寿辰

假设φ是单位球BN中有一个边界不动点e1的线性分式自映射,我们将证明1-Reφ1（z）～Re（1-z1）在BN上e1的一个邻域内成立.利用这个结果我们对MacCluer和Weir的猜测给出一个肯定的回答,并且可以改进他们所得到的有关复合算子在Hardy空间H2（BN）和加权Bergman空间Aγ^2（BN）（γ〉-1）上的本性正规性的结果.结合这些结论以及MacCluer和Weir论文中的相关结论,我们进一步讨论了由B2中抛物和双曲线性分式自映射诱导的复合算子的本性正规性问题.其中有些结论表明单复变和多复变存在着很大差异.     

复单位球上线性分式复合算子的本性正规性 庆贺钟同德教授80寿辰

假设φ是单位球BN中有一个边界不动点e1的线性分式自映射,我们将证明1-Reφ1(z)～Re(1-z1)在BN上e1的一个邻域内成立.利用这个结果我们对MacCluer和Weir的猜测给出一个肯定的回答,并且可以改进他们所得到的有关复合算子在Hardy空间H2(BN)和加权Bergman空间Aγ2(BN)(γ-1)上的本性正规性的结果.结合这些结论以及MacCluer和Weir论文中的相关结论,我们进一步讨论了由B2中抛物和双曲线性分式自映射诱导的复合算子的本性正规性问题.其中有些结论表明单复变和多复变存在着很大差异.     

POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF ■

This article is devoted to characterizing the boundedness and compactness of multiplication operators from Hardy spaces to weighted Bergman spaces in the unit ball of ■.     

一类整函数系数微分方程解的复振荡

本文研究了微分方程f~(k) A_((k-1))f~((k-1)) … A_0f=F(k≥2)解的增长级和零点收敛指数,其中A_j=B_je~(P_j),j=0,1,…,k-1,B_j(z)为整函数,P_j(z)为多项式,σ(B_j)＜degP_j．     

Estimates for The Hyper-Order of Solutions of Certain Linear Differential Equations

In this article, the authors study the growth of certain second order linear differential equation f″＋A（z）f′＋B（z）f=0 and give precise estimates for the hyperorder of solutions of infinite order. Under similar conditions, higher order differential equations will be considered.     

Compact differences of composition operators on Holomorphic Function Spaces in the unit ball

We find a lower bound for the essential norm of the difference of two composition operators acting on H 2(BN ) or As2 (BN ) (s > 1). This result plays an important role in proving a necessary and sufficient condition for the difference of linear fractional composition operators to be compact, which answers a question posed by MacCluer and Weir in 2005.