Zhen Xu

activity

20212024

most citedFrom the Littlewood-Paley-Stein Inequality to the Burkholder-Gundy Inequality

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2024

Best constants in the vector-valued Littlewood-Paley-Stein theory

Guixiang Hong, Zhendong Xu, Hao Zhang

Let $L$ be a sectorial operator of type $α$ ( $0 \leq α < π /2$ ) on $L^{2} (R^{d})$ with the kernels of ${e^{- t L}}_{t > 0}$ satisfying certain size and regularity conditions. Defi…

math.FA2023

Multiplication between elements in Martingale Hardy spaces and their duals

Odysseas Bakas, Zhendong Xu, Yujia Zhai +1

In this paper, we establish continuous bilinear decompositions that arise in the study of products between elements in martingale Hardy spaces $H^{p} (0 < p ⩽ 1)$ and functio…

math.FA2021★ 1 cited

From the Littlewood-Paley-Stein Inequality to the Burkholder-Gundy Inequality

Zhendong Xu, Hao Zhang

Let ${T_{t}}_{t > 0}$ be a symmetric diffusion semigroup on a $σ$ -finite measure space $(Ω, A, μ)$ and $G^{T}$ the associated Littlewood-Paley $g$ -functio…