Finite Hardy Phase Theory for Power Means: An exact analytic shooting family through the Carleman parameter
Year: 2026
Type: preprint
Abstract: For the power mean $P_t$, $t<1$, let \[ Λ_N(t)=\sup_{x_k>0} \frac{\sum_{n=1}^N P_t(x_1,\ldots,x_n)}{\sum_{n=1}^N x_n} \] be its finite Hardy constant. Negative powers, the geometric mean, and the usual positive-exponent Hardy inequality correspond respectively to $t<0$, $t=0$, and $0
Source: arXiv (Cornell University)
Author: Huang, Tianchi
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212229613