TITLE:
Besov Estimates for Sub-Elliptic Equations in the Heisenberg Group
AUTHORS:
Huimin Cheng, Feng Zhou
KEYWORDS:
Heisenberg Group, Sub-Elliptic Equations, Regularity, Besov Spaces
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.14 No.9,
September
13,
2024
ABSTRACT: 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.