粗糙抛物次线性算子和交换子的抛物广义局部Morrey空间估计（英文）  

Parabolic Generalized Local Morrey Space Estimates of Rough Parabolic Sublinear Operators and Commutators

作　　者：Ferit Gurbuz 

机构地区：[1]安卡拉大学理学院数学系,土耳其安卡拉Tandogan06100

出　　处：《数学进展》2017年第5期765-792,共28页Advances in Mathematics（China）

摘　　要：引入了抛物广义局部Morrey空间,并得到了其上一大类抛物粗糙算子的有界性.还创建了其在抛物广义局部Morrey空间上交换子的抛物局部Campanato空间估计·带粗糙核的抛物次线性算子及其交换子的对应结果可作为特例而得到,作为应用,得到了抛物广义局部Morrev空间上一些解析半群抛物分数次幂的有界特征.In this paper, parabolic generalized local Morrey spaces are introduced, and the boundedness of a large class of parabolic rough operators on them is derived. The parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces are also established. As its special cases, the corresponding results of parabolic sublin- ear operators with rough kernel and their commutators can be deduced, respectively. As an application, the boundedness characterizations of parabolic fractional powers of some analytic semigroups on parabolic generalized local Morrey sl3aces are obtained.

关 键 词：抛物次线性算子 抛物分数次积分算子 粗糙核 抛物广义局部Morrey空间 抛物 局部Campanato空间 交换子 

分 类 号：O174.2[理学—数学]