非双倍测度下强奇异积分算子的有界性  

Boundedness of Strongly Singular Integral Operators with Non-doubling Measures

作　　者：席芳[1] 赵凯[1] 姜诺[1] 张红俊[1] 于湖波[1] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071

出　　处：《青岛大学学报（自然科学版）》2013年第1期7-10,共4页Journal of Qingdao University(Natural Science Edition)

基　　金：国家自然科学基金项目(11041004);山东省自然科学基金项目(ZR2010AM032)

摘　　要：设μ是Rd上的Randon测度,并且μ是仅满足增长条件的非双倍测度。在这个假设下,讨论了强奇异积分算子T的有界性问题,利用非双倍测度的相关性质,得到了此算子是Ha1tb,∞(μ)到L1(μ)有界的,也是L∞到RBMO有界的,由内插定理得到此算子的Lp有界性。Let/1 b condition. Under e a Randon measure on Rd and be a non-doubling measure which just satisfies the growth this assumption, the using the properties of non-doubling boundedness of strongly singular measures, the boundedness of the and the boundedness of the operators from L to RBMO are obtained. rem, the boundedness of the operators from Lp to itself is obtained. integral operators is discussed. By 1 , El operators from L （/2） to （/2） Then by using interpolation theo-

关 键 词：强奇异积分算子 非双倍测度 有界性 

分 类 号：O152.5[理学—数学]