| MAXIMAL CALDERON-ZYGMUND SINGULAR INTEGRAL ON RBMO |
| |
| 作者姓名： | Chen Jiecheng Zhu Xiangrong |
| |
| 作者单位： | Dept, of Math. ,Zhejiang Univ. ,Hangzhou 310028 ,China. |
| |
| 基金项目： | Supported by 973-project （G1999075105）, NSFC （G10271107）, RFDP （ 20030335019 ）, ZJNSF（RC97017）. |
| |
| 摘 要： | Given a positive Radon measure μ on R^d satisfying the linear growth condition μ（B（x,r））≤C0r^n,x∈R^d,r〉0,（1） where n is a fixed number and O〈n≤d. When d-1〈n,it is proved that if Tt,N1=0,then the corresponding maximal Calderon-Zygmund singular integral is bounded from RBMO to itself only except that it is infinite μ-a. e. on R^d.
|
| 关 键 词： | Calderon-Zygmund积分 随机测量 线性生长 RBMO |
| 收稿时间： | 2004-12-03 |
Maximal calderón-zygmund singular integral on RBMO |
| |
| Chen Jiecheng Zhu Xiangrong.MAXIMAL CALDERON-ZYGMUND SINGULAR INTEGRAL ON RBMO[J].Applied Mathematics A Journal of Chinese Universities,2005,20(3):316-322. |
| |
| Authors: | Chen Jiecheng Zhu Xiangrong |
| |
| Institution: | (1) Dept. of Math., Zhejiang Univ., 310028 Hangzhou, China |
| |
| Abstract: | Given a positive Radon measure μ on R
d
satisfying the linear growth condition μ(B(x,r))≤C
0rn,x∈R
d
,r>0, (1) where n is a fixed number and 0<n≤d. When d−1<n, it is proved that if T
∈,N
1=0, then the corresponding maximal Calderón-Zygmund singular integral is bounded from RBMO to itself only except that it
is infinite μ-a.e. on R
d
.
Supported by 973-project (G1999075105), NSFC (G10271107), RFDP (20030335019), ZJNSF (RC97017). |
| |
| Keywords: | RBMO maximal C-Z singular integral |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
|
