HEISENBERG_GROUP

作品数：77被引量：88H指数：5
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相关作者：田龙王海蒙更多>>
相关机构：浙江大学南京理工大学南京林业大学更多>>
相关期刊：《Journal of Partial Differential Equations》《Progress in Natural Science:Materials International》《Analysis in Theory and Applications》《Frontiers of Mathematics in China》更多>>
相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>
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Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group被引量：1
《Analysis in Theory and Applications》2021年第4期520-540,共21页Shirsho Mukherjee Yannick Sire 
S.Mukherjee was partially supported by“Variationaaliset integraalit geometr”and GHAIA Marie Skłodowska-Curie grant agreement No.777822 under Horizon 2020.
We establish Holder continuity of the horizontal gradient of weak solu-tions to quasi-linear p-Laplacian type non-homogeneous equations in the Heisenberg Group.
关键词：NON-HOMOGENEOUS 
Comparison Principles for Some Fully Nonlinear Sub-Elliptic Equations on the Heisenberg Group被引量：1
《Analysis in Theory and Applications》2019年第3期312-334,共23页Yan Yan Li Bo Wang 
partially supported by NSF grant DMS-1501004;partially supported by NNSF (No. 11701027);Beijing Institute of Technology Research Fund Program for Young Scholars
In this paper,we prove a form of the strong comparison principle for a class of fully nonlinear subelliptic operators of the form■H^2,sψ+L(·,ψ,■Hψ)on the Heisenberg group,which include the CR invariant operators.
关键词：Comparison principle subellipticity CR INVARIANCE HEISENBERG group propagation of TOUCHING POINTS 
Variable Hardy Spaces on the Heisenberg Group
《Analysis in Theory and Applications》2016年第3期242-271,共30页Jingxuan Fang Jiman Zhao 
We consider Hardy spaces with variable exponents defined by grand maximal function on the Heisenberg group. Then we introduce some equivalent characterizations of variable Hardy spaces. By using atomic decomposition a...
关键词：Hardy spaces variable exponents Heisenberg group atomic decomposition Littlewood-Paley characterization. 
Hardy Type Estimates for Riesz Transforms Associated with Schrdinger Operators on the Heisenberg Group
《Analysis in Theory and Applications》2016年第1期78-89,共12页Yu Liu Guobin Tang 
Abstract. Let H^n be the Heisenberg group and Q = 2n＋2 be its homogeneous dimen- sion. In this paper, we consider the Schr6dinger operator -△H^n ＋V, where △H^n is the sub-Laplacian and V is the nonnegative potenti...
关键词：Heisenberg group stratified Lie group reverse H61der class Riesz transform Schr6dinger operator. 
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