| AN ENDPOINT ESTIMATE FOR MAXIMAL MULTILINEAR SINGULAR INTEGRAL OPERATORS |
| |
| 作者姓名： | Yulan Jiao |
| |
| 作者单位： | Zhengzhou Information Engineering University, China |
| |
| 摘 要： | A weak type endpoint estimate for the maximal multilinear singular integral operator T*Af(x)=supε＞0|(f)(x-y)＞ε (Ω(x-y)/(|x-y|(n 1)))(A(x)-A(y)-▽A(y)(x-y))f(y)dy| is established, where Ω is homogeneous of degree zero, integrable on the unit sphere and has vanishing moment of order one, and A has derivatives of order one in BMO(Rn). A regularity condition on Ω which implies an LlogL type estimate of T*A is given.
|
| 关 键 词： | 奇异积分算子 有界平均振荡 消失条件 估计 |
| 收稿时间： | 2007-04-16 |
An endpoint estimate for maximal multilinear singular integral operators |
| |
| Yulan Jiao.AN ENDPOINT ESTIMATE FOR MAXIMAL MULTILINEAR SINGULAR INTEGRAL OPERATORS[J].Analysis in Theory and Applications,2007,23(4):307-314. |
| |
| Authors: | Yulan Jiao |
| |
| Institution: | (1) School of Sciences, Information Engineering University, Zhengzhou, 450001, P. R. China |
| |
| Abstract: | A weak type endpoint estimate for the maximal multilinear singular integral operator is established, where Θ is homogeneous of degree zero, integrable on the unit sphere and has vanishing moment of order one,
and A has derivatives of order one in BMO(ℝn). A regularity condition on Θ which implies an LlogL type estimate of T
A
*
is given.
|
| |
| Keywords: | maximal multilinear singular integral operator bounded mean oscillation vanishing condition SINGULAR INTEGRAL OPERATORS MAXIMAL endpoint estimate regularity condition derivatives integrable the unit sphere moment order homogeneous of degree zero established weak type maximal singular integral operator |
| 本文献已被 维普 万方数据 SpringerLink 等数据库收录！ |
