纺织高校基础科学学报2017，Vol.30Issue(4)：516-521,6.DOI:10.13338/j.issn.1006-8341.2017.04.012
海森堡群上Kohn-Laplace方程的Orlicz最优正则性
Optimal Orlicz regularity for Kohn-Laplace equation in the Heisenberg group
摘要
Abstract
By estimating the second order derivatives of the fundamental solution of Kohn-La-place operator in the Heisenberg group at the origin ,it is proved that the grow th condition Δ2∩ ▽ 2 in the Orlicz regularity estimates for the Kohn-Laplace equation in the Heisenberg group is optimal .The optimal Orlicz regularity of Poisson equation in Euclidean space is extended to the Heisenberg group .关键词
海森堡群/Kohn-Laplace方程/Orlicz空间/正则性Key words
Heisenberg group/Kohn-Laplace equation/Orlicz space/regularity分类
数理科学引用本文复制引用
郭欠霞..海森堡群上Kohn-Laplace方程的Orlicz最优正则性[J].纺织高校基础科学学报,2017,30(4):516-521,6.基金项目
国家自然科学基金资助项目(11361017) （11361017）
山西省自然科学基金资助项目(2014021009-1) （2014021009-1）
山西省高等学校科技创新基金资助项目(2015101) （2015101）
