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Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
In this paper we provide a characterization of second order fully nonlinear CR invariant equations on the Heisenberg group, which is the analogue in the CR setting of the result proved in the Euclide...
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...
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...
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...

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