3 papers
math.CV2025
Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact Kähler manifolds
Fusheng Deng, Gang Huang, Xiangsen Qin
The main goal of this paper is to generalize the Sobolev-type inequalities given by Guo-Phong-Song-Sturm and Guedj-Tô from the case of functions to the framework of twisted differe…
math.CV2024
Uniform estimates of Green functions and Sobolev-type inequalities on real and complex manifolds
Fusheng Deng, Gang Huang, Xiangsen Qin
We prove certain Sobolev-type and Poincaré-type inequalities for functions on real and complex manifolds for the gradient operator , the Laplace operator , and the…
math.NA2024
Numerical calculation method for function integration on submanifolds of or compact Riemannian manifolds
Fusheng Deng, Gang Huang, Yingyi Wu
In this paper, we present a method for digitally representing the "volume element" and calculating the integral of a function on compact hypersurfaces with or without boundary, and…