单位球上全纯函数空间的系数乘子

本文给出了Cn 中超球B上Hardy空间Hp、Bergman空间Lpa、Bloch空间 β、Besov空间Bp 及Lipschitz空间Apk 之间的系数乘子 .

C^n中Stieltjes积分族与几个全纯函数空间的关系

在Cn中讨论了Cauchy-Stieltjes积分族Jp和Bloch型空间、Besov空间、Bergman空间的包含关系,得到如下结果:(1)当0≤q<p+1-n时,βq Jp;(2)当p≥0,q>p+1时,Jp βq;(3)当q>p≥0时,Jp Δq;(4)当p>0时,Δp Jp;(5)当0<p<n+1且0<q<n+1n+1}<σ<1时,p时,Jp Lqa;(6)当n+1<p<∞且max{0,n+1-pnLn+1pa Jp+σ.

基于全纯小波的多分辨分析

首先考虑四元数上半平面的边界在特殊线性群SL(2,C)的子群作用下的酉表示。其次利用投影算子将L^2(R^2)投影到广义上半平面T_Γ上的全纯函数空间H^2(T_Γ)及其共轭空间H^2(T_Γ)上。由L^2(R^2)的多分辨分析,可获得这两个投影空间的多分辨分析,从而解决L^2(R^2)的直和分解问题。

The Growth and 1/4-Theorems for Spirallik Maps in l^P, B^P and Inner Product Space

The paper is made of two parts.In first part,We give the growth and 1/4-theorems for spiral like maps on the unit ball in l^p.Particularly,corresponding results were given in B^p.In the second part,we give the growth and 1/4-theorems for spirallike maps in an inner product space.We prove that the results is best.

Decomposition of L^P( Da) Space and Boundary Value of Holomorphic Functions

This paper deals with two topics mentioned in the title. First, it is proved that function f in L^P（ Da） can be decomposed into a sum g ＋ h, where Da is an angular domain in the complex plane, g and h are the non-tangential limits of functions in H^P（Da） and H^P（aD^c） in the sense of LP（Da）, respectively. Second, the sufficient and necessary conditions between boundary values of holomorphic functions and distributions in n-dimensional complex space are obtained.