摘要
奇异积分算子是调和分析中重要的分支之一.本文引入了两个参变量的一类广义核及其所定义的乘积空间上的奇异积分算子,这类核的条件类似单参变量情形.在这些条件下,讨论并且得到其Lp有界性和加权Lp有界性,这些结果推广了Fefferman—Slein的结果.
In this paper,certain kernels defined on product space R^n×R^m are given, L^p boundedness and L^p(w)(1<p<∞) boundedness of singular integral operators defined by these kernels are obtained,where product space R^n×R^m means:(x,y)∈R^n×R^m, δ_1≠δ_2, δ_1>0 i=1, 2.(x, y)→(δ_1x, δ_2y).
关键词
奇异积分算子
乘积空间
singular integral operator
product space
A_p weight
