R^n上一类高阶奇异Teodorescu算子的性质  

The Properties of a Class of Higher-Order Teodorescu Operators of R^n

作　　者：李莹[1] 杨贺菊[1] 黄丽坤 LI Ying;YANG He-ju;HUANG Li-kun(School of Sciences,Hebei University of Science and Technology,Shijiazhuang 050018,China)

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《数学的实践与认识》2019年第1期269-275,共7页Mathematics in Practice and Theory

摘　　要：讨论了R^n上的一类高阶奇异Teodorescu算子的有界性.首先定义了一类R^n上的高阶T算子,然后将算子分为两部分,并且利用Hlder不等式及一些引理证明了该算子在整个R^n上的一致有界性.This paper discusses the boundedness of a class of higher-order singular Teodorescu operators on R^n. First, a class of high-order T operators on R^n is defined. Then the operator is divided into two parts. And we use the Hlder inequality and some lemmas to prove the uniform boundedness of this operator over R^n.

关 键 词：高阶Teodorescu算子 CLIFFORD分析 一致有界性 

分 类 号：O177[理学—数学]