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Goldstein, P. and Zatorska-Goldstein, A. (2008) Calderon-Zygmund Type Estimates for Nonlinear Systems with Quadratic Growth on the Heisenberg Group. Forum Mathematicum, 20, 679-710.
https://doi.org/10.1515/forum.2008.033

has been cited by the following article:

• 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.