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Besov Estimates for Sub-Elliptic Equations in the Heisenberg Group
School of Mathematics and Statistics, Shandong Normal University, Jinan, China
School of Mathematics and Statistics, Shandong Normal University, Jinan, China
- 1 School of Mathematics and Statistics, Shandong Normal University, Jinan, China
- 2 School of Mathematics and Statistics, Shandong Normal University, Jinan, China
Advances in Pure Mathematics·Volume 14 (2024)·Pages 744–758·Published 12 September 2024·DOI10.4236/apm.2024.149039
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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.
KeywordsHeisenberg GroupSub-Elliptic EquationsRegularityBesov Spaces
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