齐型空间上带非光滑核的奇异积分算子的双权不等式  

A Two-weight Norm Inequality for Singular Integral Operators with Non-smooth Kernel on Spaces of Homogeneous Type

作　　者：胡国恩[1] 张启慧[1] 

机构地区：[1]信息工程大学应用数学系,郑州450002

出　　处：《数学物理学报（A辑）》2009年第3期764-772,共9页Acta Mathematica Scientia

摘　　要：该文在齐型空间(X,d,μ)上建立带非光滑核的奇异积分算子的双权、弱型不等式,即对于1<p≤q<∞,此算子是L^p(x,v)到L^(q,∞)(X,u)有界的,只要权函数对(u,v)满足在权u上增加一个"Orlicz-bump"的A_p型条件.In this paper, a two-weight weak type norm inequality for singular integral operators with non-smooth kernel is established on spaces of homogeneous type. The authors prove that the operators in question are bounded from LP（X,v） to L^q,∞（X,u） with 1 〈 p ≤ q 〈∞, provided that the pair of weights （u, v） verifies an Ap-type condition with an ＂Orlicz-bump＂ on the weight u.

关 键 词：齐型空间 加权不等式 奇异积分算子 非光滑核. 

分 类 号：O174.2[理学—数学]