Some properties of a kind of generalized Teodorescu operator in Clifford analysis

Journal of inequalities and applications

Liping Wang¹ 

关键词: Clifford analysis;    k-regular functions;    generalized Teodorescu operator;    Hölder continuity;    stability;   

DOI  :  10.1186/s13660-016-1048-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

First, a kind of generalized Teodorescu operator which is related to the k-regular functions are defined. Then the boundedness and the Hölder continuity of the generalized Teodorescu operator are discussed. Finally, the stability and error estimate of the generalized Teodorescu operator are given when the boundary surface of the integral domain Ω is perturbed.

【 授权许可】

CC BY