有界凸域上复合算子TｏP的范数估计（英文）  

Norm estimates for the composite operator T ｏ P on a bouneded convex domain

作　　者：李华灿[1] 李群芳 刘舞龙[1] 

机构地区：[1]江西理工大学理学院,赣州341000 [2]赣州师范高等专科学校数学系,赣州341000

出　　处：《黑龙江大学自然科学学报》2015年第2期188-194,共7页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Natural Science Foundation of China(11461032);the Foundation of the Jiangxi University of Science and Technology(NSFJ2015-G25);the Youth Foundation of Jiangxi Provincial Education Department of China(GJJ14460)

摘　　要：得到有界凸区域上作用于非齐次A-调和方程解的复合算子TP的Ls范数估计,借助于逆Hlder不等式,把上述结果进行推广,利用Ls范数和BMO范数来估计Lipschitz范数的范数估计式,给出加Aλr(D)-权的Lipschitz和BMO范数估计。The Ls norm estimate for the composite operator T o P acting on the solution of the nonhomoge- neous A-harmonic equation on a bouneded convex domain is first given. Then by the inverse HSlder ine- quality, Lipschitz norm is estimated by Ls and BMO norms. Finally, the A λr （D）-weighted norm inequali- ties for Lipschitz and BMO norms are given.

关 键 词：复合算子 范数估计 Aλr(D)-权 非齐次A-调和方程 有界凸区域 

分 类 号：O175.2[理学—数学]