CONTINUITY OF WEIGHTED ESTIMATES IN Ap NORM

被引：4
|
作者：
Pattakos, Nikolaos [1 ]
Volberg, Alexander [1 ]
机构：
[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 08期
关键词：
Calderon-Zygmund operators; A(2) weights; interpolation;
D O I：
10.1090/S0002-9939-2011-11165-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for a general Calderon-Zygmund operator T the numbers parallel to T parallel to(Lp(w) -> Lp(w)) converge to parallel to T parallel to(Lp(dx) -> Lp(dx)) as the A(p) norm of w converges to 1, i.e. as [w](Ap) -> 1(+) for 1 < p < infinity.
引用
收藏
页码：2783 / 2790
页数：8
相关论文
共 50 条
12345