分数次积分算子的双权不等式
来源期刊：中南大学学报(自然科学版)1996年第4期
论文作者：肖政初 李志彪 刘心歌
文章页码：489 - 492
关键词：分数次积分算子; 双权不等式; 二进方体
Key words：fractional integral operator; two-weighted inequality; dyadic cube
摘 要：首先推广了E.T.Sawyer关于分数次积分算子的双权不等式的几个充分条件,所得结果更加接近于必要条件Aαp,q然后给出了与分数次极大算子相联系的另一充分条件.
Abstract: In this paper, some sufficient conditions for the weighted inequalities of fractional integrals have been extended and improved, and another kind of condition related to the fractional maximal operators have been presented. The results shows that these conditions are closer to the necessary conditions.
