奇异积分算子q-变差的定量最优加权估计  

Quantitative and Sharp Weighted Estimates for q-Variations of Singular Operators

作　　者：程旺 马涛[1] Wang CHENG;Tao MA(School of Mathematics and Statistics,Wuhan 430070,P.R.China)

机构地区：[1]武汉大学数学与统计学院,武汉430070

出　　处：《数学学报（中文版）》2019年第2期279-286,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11671308;11431011)

摘　　要：本文将定量最优A_p权理论推广到联系于ω-Calderón-Zygmund算子的q-变差情形.这些结果利用了Lerner最新给出的稀疏控制方法来控制q-变差,和Hyt?nen等关于q-变差的最优加权成果相比,本文涉及的ω仅需满足Dini条件,并且其截断是非光滑的.In this work we extend the quantitative and sharp weighted bounds for the A_p theorem to the q-variation of ω-Calderon-Zygmund operators. These results make use of the new sparse dominating techniques given recently by Lerner to control the q-variation. Compared with the work of Hyt?nen etc., which also involved the sharp weighted estimates of q-variations, ω in our case only satisfies the Dini condition, and related cut-off is sharp.

关 键 词：最优加权估计 定量估计 q-变差 CALDERON-ZYGMUND算子 稀疏算子 

分 类 号：O174.2[理学—数学]