摘要
本文利用变测度内插定理,权乘子理论等方法,得到了Riesz-mean算子的加权估计.把Sogge的一些结论推广到带权情形,并将Sogge的结论中的L^p有界性的p范围扩充到1<p<∞。
In this paper we obtain the weighted norm inequalities of Riesz-mean operators by interpolation of change measures, weighted multiplier theory and other ways, some results of Sogge are generalized to the weighted case, and some are improved to some extent.
出处
《杭州大学学报(自然科学版)》
CSCD
1994年第3期245-254,共10页
Journal of Hangzhou University Natural Science Edition
关键词
加权
范数不等式
R-m算子
Riesz-mean operator
maximal operator
weighted norm inequality
interpolation of change measures.