| 分数次积分变换的交换子在齐型空间上的端点估计 |
| |
| 引用本文： | 邓燕谊. 分数次积分变换的交换子在齐型空间上的端点估计[J]. 计算技术与自动化, 2009, 28(4): 72-75 |
| |
| 作者姓名： | 邓燕谊 |
| |
| 作者单位： | 长沙环境保护职业技术学院,湖南,长沙,410004 |
| |
| 摘 要： | 令T为P^n上的Caldero＇n-Zygmund积分算子，由T构成的交换子的有界性已有较完善的结论，本文的目的是将之推广到一般的齐型空间。设（X，d，μ）为齐型空间，将引进齐型空间（X，d，μ）上的分数次积分变换构成的交换子Iγ^b，并证明分数次积分变换构成的交换子Iγ^b的端点估计，即砖是从L^1/γ（X）到BMO（X）有界的，从Bp^γ（X）到CMO（X）有界的。
|
| 关 键 词： | 交换子 分数次积分变换 齐型空间 BMO空间 |
Endpoint Estimates for Commutator of Fractional Integral on Space of Homogeneous Type |
| |
| DENG Yan-yi. Endpoint Estimates for Commutator of Fractional Integral on Space of Homogeneous Type[J]. Computing Technology and Automation, 2009, 28(4): 72-75 |
| |
| Authors: | DENG Yan-yi |
| |
| Affiliation: | DENG Yan-yi (Changsha Environmental Protection College,Changsha 410004,China) |
| |
| Abstract: | Let The Caldero＇n-Zygmund＇operator on R^n . It is well known that the boundedness of the commutator related to Tand has been widely studied by many authors. The purpose of this paper is extent to more general space of homogeneous type. Let （X,d,μ）be space of homogeneous type. In this paper, we will introduce the commutator Iγ^b related to the fractional integral operator on the space of homogeneous type and prove the endpoint estimates for the eommutator, that is Iγ^b is bounded from L^1/γ（X）to BMO（X） and from Bp^γ（X） to CMO（X）. |
| |
| Keywords: | eommutator fractional integral space of homogeneous type BMO（X） hardy spaces |
| 本文献已被 维普 万方数据 等数据库收录！ |
