Year: 2026
Type: preprint
Abstract: We prove sharp Hardy inequalities on $\mathbb{Q}_p^n$ for the quadratic form of the Vladimirov--Taibleson operator, the $L^q$ norm of its fractional derivative, and a nonlinear difference energy. Under the self-dual Fourier normalization, the sharp quadratic-form constant for $0<α0$. The Hardy inequalities on the full test-function space therefore hold precisely when $sq
Source: arXiv (Cornell University)
Author: Sun, Yaojia
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220734106