Besov Estimates for Sub-Elliptic Equations in the Heisenberg Group  

作　　者：Huimin Cheng Feng Zhou Huimin Cheng;Feng Zhou(School of Mathematics and Statistics, Shandong Normal University, Jinan, China)

机构地区：[1]School of Mathematics and Statistics, Shandong Normal University, Jinan, China

出　　处：《Advances in Pure Mathematics》2024年第9期744-758,共15页理论数学进展（英文）

摘　　要：In this article, we deal with weak solutions to non-degenerate sub-elliptic equations in the Heisenberg group, and study the regularities of solutions. We establish horizontal Calderón-Zygmund type estimate in Besov spaces with more general assumptions on coefficients for both homogeneous equations and non-homogeneous equations. This study of regularity estimates expands the Calderón-Zygmund theory in the Heisenberg group.In this article, we deal with weak solutions to non-degenerate sub-elliptic equations in the Heisenberg group, and study the regularities of solutions. We establish horizontal Calderón-Zygmund type estimate in Besov spaces with more general assumptions on coefficients for both homogeneous equations and non-homogeneous equations. This study of regularity estimates expands the Calderón-Zygmund theory in the Heisenberg group.

关 键 词：Heisenberg Group Sub-Elliptic Equations REGULARITY Besov Spaces 

分 类 号：O17[理学—数学]