Bo Xiang

collaborators

2 papers

math.FA2026

Sphere version of Banach--Kadec--Paley theorem

Qingjin Cheng, Wuyi He, Bo Xiang

We study almost Lipschitz embeddings in the quantitative geometry of unit spheres of classical $L_p$-spaces. Our main result is a sphere version of the classical Banach--Kadec--P…

math.FA2026

Sharp Metric Cotype Inequalities for $L_{1}$ via Nonlinear Cut Smoothing

Qingjin Cheng, Yue Wang, Bo Xiang

For every $1 \leq p < \infty$ and even integer $m \geq 4$ , 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 cons…

Sphere version of Banach--Kadec--Paley theorem

Sharp Metric Cotype Inequalities for L1​ via Nonlinear Cut Smoothing

Sharp Metric Cotype Inequalities for $L_{1}$ via Nonlinear Cut Smoothing