非散度型椭圆方程的解在加权Morrey-Herz空间上的正则性  

Regularity in weighted Morrey-Herz spaces of solutions to nondivergence elliptic equations

作　　者：陶双平[1] 马骊[1] 

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2013年第5期10-16,共7页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11161042;11071250)

摘　　要：利用Lebesgue空间上的有界性结果,建立了奇异积分算子及其交换子在加权Morrey-Herz空间上的有界性,并由此得到了VMO系数非散度型二阶椭圆方程Dirichlet问题的强解在加权Morrey-Herz空间上的整体正则性.By applicating the boundedness results in Lebesgue spaces, the boundedness of singular integral operators and its commutators is established in the weighted Morrey-Herz spaces. Then, the global regularity of strong solutions is obtained to the Dirichlet problem on the second-order elliptic equations with VMO coefficients in nondivergence form in the weighted Morrey-Herz spaces.

关 键 词：奇异积分 VMO空间 加权MORREY-HERZ空间 椭圆方程 

分 类 号：O174.2[理学—数学]