Fractional integrals on radial functions with applications to weighted inequalities

被引：25
|
作者：
Duoandikoetxea, Javier [1 ]
机构：
[1] Univ Pais Vasco Euskal Herriko Unibertsitatea, Dept Matemat, Bilbao 48080, Spain
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2013年 / 192卷 / 04期
关键词：
Fractional integrals; Radial functions; Weighted inequalities; BOUNDS;
D O I：
10.1007/s10231-011-0237-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain operators pointwise equivalent to the fractional integral and the maximal fractional operator acting on radial functions. With the aid of these operators we obtain several weighted inequalities, assuming that either the functions or the weights are radial.
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页码：553 / 568
页数：16
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