Weighted inequalities for a maximal function on the real line

被引：2

作者：

Bernardis, AL

Martín-Reyes, FJ

机构：

[1] INTEC, PEMA, RA-3000 Santa Fe, Argentina

[2] Univ Malaga, Fac Ciencias, Dpto Anal Matemat, Malaga 29071, Spain

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2001年 / 131卷

关键词：

D O I：

10.1017/S0308210500000871

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the maximal operator defined on the real line by M(alpha)f(x) = sup(R >0) 1/(2R)(1+alpha) f(R < \x-y\< 2R) \f(y)\(\x-y\ - R)(alpha) dy, -1 < alpha <0, which is related to the Cesaro convergence of the singular integrals. We characterize the weights w for which M-alpha is of weak type, strong type and restricted weak type (p, p) with respect to the measure w(x) dx.

引用

页码：267 / 277

页数：11