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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Nonlocal Filtration Equations on the Heisenberg group
海森堡群 非局部 滤波方程
2023/4/28
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars: Nonlocal Filtration Equations on the Heisenberg group
海森堡群 非局部 滤波方程
2023/5/4
Sharp constants in several inequalities on the Heisenberg group
Sharp constants in several inequalities Heisenberg group
2010/12/1
We derive the sharp constants for the inequalities on the Heisenberg group Hn whose analogues on Euclidean space Rn are the well known Hardy-Littlewood- Sobolev inequalities. Only one special case had...
Intersections of intrinsic submanifolds in the Heisenberg group
Heisenberg group intrinsic regular surfaces implicit function theorem
2010/12/14
In the first Heisenberg group, we show that the intersection of two intrinsic submanifolds with linearly independent horizontal normals locally coincides with the image of an injective continuous curv...
广义Heisenberg群$G_n$的Plancherel公式及其应用
2007/12/11
本文给出一类单连通幂零 Lie 群$G_n$上的 Plancherel 公式,用来讨论$G_n$上的左不变微分算子,得到其具亚椭圆性的一个充分条件,并对一类左不变微分算子构造出了拟基本解.
Global Poincar′e inequalities on the Heisenberg group and applications
Heisenberg group Sobolev inequalities Poincar\'e inequalities best constants
2007/12/11
Let $f$ be in the localized nonisotropic Sobolev space $W_{\rm loc}^{1,p}(\Bbb H^n) $ on the $n$-dimensional Heisenberg group $\Bbb H^n=\Bbb C^n\times \Bbb R$, where $1\leq p
is the h...