Author(s)

Huimin Cheng, Feng Zhou^*

School of Mathematics and Statistics, Shandong Normal University, Jinan, China.

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.

Heisenberg Group, Sub-Elliptic Equations, Regularity, Besov Spaces

Cheng, H. and Zhou, F. (2024) Besov Estimates for Sub-Elliptic Equations in the Heisenberg Group. Advances in Pure Mathematics, 14, 744-758. doi: 10.4236/apm.2024.149039.