Author

Yue Wang

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Preprint Sep 2026

On Property (H) of c_0 and Lipschitz Problems of Gromov and Johnson

Let $X$ be a normed space and $S_X$ be the unit sphere of $X$. We say that $X$ has Property (H) if there exist two increasing sequences $V_j\subset X$ and $H_j\subset \ell_2$, $j=1,2,\ldots$, of finite dimensional subspaces such that $V=\bigcup_j V_j$ is dense in $X$, and there is a uniformly continuous mapping $\psi:S...

Li-Xin Cheng, Qing-Jin Cheng, Yue Wang · 2 citations · ⚡2

Preprint Sep 2026

Sharp Metric Cotype Inequalities for $L_1$ via Nonlinear Cut Smoothing

For every $1\leq p<\infty$ and even integer $m\geq4$, we determine the optimal order of the $p$-moment torus inequality for $L_1$: it is $m^p n^{(1-p/2)_+}+n$, with comparison constants independent of $p,m,n$ after taking $p$-th roots. Consequently, for every $2\leq q<\infty$ and $1\leq p\leq q$, the corresponding metr...

Qing-Jin Cheng, Yue Wang, Bo Xiang · 2 citations