一类变量核奇异积分算子的RBMO估计  

A RBMO Estimate for a Class of Singular Integral Operator with Variable Kernel

作　　者：杨旭升 张承峰 YANG Xu-sheng;ZHANG Cheng-feng(School of Education,Lanzhou University of Arts and Science,Lanzhou 730000,China;Department of Basic Courses,Qingyang Vocational and Technical College,Qingyang 745000,Gansu,China)

机构地区：[1]兰州文理学院教育学院,甘肃兰州730000 [2]庆阳职业技术学院基础部,甘肃庆阳745000

出　　处：《兰州文理学院学报（自然科学版）》2019年第6期19-21,共3页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金(11361053);甘肃省高等学校科研项目(2018A-248,2017A-100)

摘　　要：应用Lebesgue空间的相关理论,研究了一类变量核奇异积分算子TΩ的有界性,证明了当核函数Ω(x,z)满足一定条件时,TΩ是从L^∞(R^n)到RBMO(R^n)的有界算子,从而推广了以往非变量核的相关结果.By applying the related properties of Lebesgue space,a class of singular integral operators with variable kernels is discussed.The boundedness TΩ of L^∞(R^n) on RBMO(R^n) spaces is proved when the kernel function Ω(x,z) satisfying certain conditions,which generalized the previous results of the non-variable kernel.

关 键 词：奇异积分算子 尺寸条件 RBMO(R^n) 变量核 

分 类 号：O174.2[理学—数学]