Two weighted inequalities for maximal functions related to Cesaro convergence

被引：1

作者：

Bernardis, AL

Martín-Reyes, FJ

机构：

[1] IMAL, RA-3000 Santa Fe, Argentina

[2] Univ Malaga, Fac Ciencias, Dept Anal Matemat, E-29071 Malaga, Spain

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2003年 / 74卷

关键词：

Cesaro maximal operator; Cesaro-alpha convergence; weights; singular integrals;

D O I：

10.1017/S1446788700003165

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the pairs of weights (u, v) for which the maximal operator graphics is of weak and restricted weak type (p, p), with respect to u(x) dx and v(x) dx. As a consequence we obtain analogous results for graphics We apply the results to the study of the Cesaro-alpha convergence of singular integrals.

引用

页码：111 / 120

页数：10

共 7 条

[1] On weighted inequalities for singular integrals [J].