粗糙核奇异积分的Toeplitz-型算子的加权端点估计  

Weighted End-point Estimates of Toeplitz-Type Operators Related to Singular Integral Operator with Rough Kernels

作　　者：高亚瑞 陶双平 GAO Yarui;TAO Shuangping(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《西南大学学报（自然科学版）》2021年第12期81-87,共7页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11561062).

摘　　要：令b∈BMO(R^(n)),本文主要研究粗糙核奇异积分的Toeplitz-型算子T b=∑m k=1 T^(k,1) M bT^(k,2)的端点估计,其中T^(k,1)是粗糙核奇异积分算子,T^(k,2)是线性算子,M_(b)(f)=bf.利用A_(p)权不等式,证明了T_(b)是从L^(∞)(ω)到BMO(ω)上的有界算子,并且得到T_(b)是从B_(p)(ω)到CMO_(A)(ω)上的有界算子.As b∈BMO(R^(n)),the main purpose of this paper is to study the end-point estimation of Toeplitz-type operator T b=∑m k=1 T^(k,1) M bT^(k,2),where T^(k,1) is the singular integrals with rough kernels,T^(k,2) is the linear operators,and M b(f)=bf.By applying A_(p) weight inequalities,it is proved that T_(b) is bounded from L^(∞)(ω)to BMO(ω),and from B_(p)(ω)to CMO_(A)(ω)as well.

关 键 词：Toeplitz-型算子 粗糙核奇异积分 端点估计 

分 类 号：O174.2[理学—数学]