与非光滑核的奇异积分相关的Toeplitz算子的双权估计  

Two Weighted Estimates for Toeplitz Operator Related to Singular Integrals Operator with Non-smooth Kernels

作　　者：陈冬香[1] 李倩丽[1] 

机构地区：[1]江西师范大学数学与信息科学学院南昌330022

出　　处：《数学物理学报（A辑）》2013年第6期1122-1132,共11页Acta Mathematica Scientia

基　　金：国家自然科学基金(10961015,11261023);江西省自然科学基金(20122BAB201011);江西省教育厅基金(GJJ10397)资助

摘　　要：研究了与非光滑核的奇异积分算子和加权Lipschitz函数相关的的Toeplitz算子T_b的sharp极大函数的点态估计,并应用该估计证明了Toeplitz算子T_b是从L^p(ω)到L^q(ω^(1-q))上的有界算子.此外还建立了与非光滑核的奇异积分算子和加权BMO函数相关的的Toeplitz算子T_b的sharp极大函数的点态估计,证明了这类Toeplitz算子是从L^p(μ)到L^q(ν)上的有界算子.This paper is concerned with point, wise estimates for the sharp maximal function of the Toeplitz operators T8 related to singular integral operators with non-smooth kernel and a weighted Lipschitz function. We show that Toeplitz operator Tb is bounded from Lp（w） to Lp（wl-q）. On the other hand, we also establish pointwise estimates for the sharp maximal function of the Toeplitz operator related to singular integral operators with non-smooth kernel and a weighted BMO function and show that this Toeplitz operator Tb is bounded from LP（μ） to LP （v）.

关 键 词：TOEPLITZ算子 加权Lipschitz空间 加权BMO空间 双权估计 

分 类 号：O174.2[理学—数学]