Cheng Bi

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20232026

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math.CA2026

$L^{p}$ integrability of functions with Fourier support on High codimension manifolds

Cheng Bi, Ruichen Sun

Let $n, k \geq 2$ and $N_{n, k} = (k n + k) - 1$ . We prove that if $f \in L^{p} (R^{N_{n, k}})$ and $f^$ is supported on the $n$ -dimensional Parsell-Vinogradov manifold,…

math.CA2026

Uniform volume estimates and maximal functions on generalized Heisenberg-type groups

Cheng Bi, Hong-Quan Li

On generalized Heisenberg-type groups $G (2 n, m, U, W)$ , we give uniform volume estimates for the ball defined by a large class of Carnot-Carathéodory distan…

Lp integrability of functions with Fourier support on High codimension manifolds

Uniform volume estimates and maximal functions on generalized Heisenberg-type groups

$L^{p}$ integrability of functions with Fourier support on High codimension manifolds