Xudong Lai

collaborators

3 papers

math.OA2026

Noncommutative Maximal Averages over Submanifolds and Variable Hypersurfaces

Xudong Lai, Siyu Liu

We establish maximal inequalities for geometric averages of operator-valued functions in noncommutative $L^p$-spaces associated with semifinite von Neumann algebras. For averages…

math.FA2025

Dimension-free estimates for semi-commutative discrete Hardy-Littlewood maximal operators

Xudong Lai, Yue Zhang

For $2 \leq p \leq \infty$ , we establish dimension-free estimates for discrete dyadic Hardy-Littlewood maximal operators over Euclidean balls on semi-commutative $L_{p}$ space. In pa…

math.OA2025

Maximal Riesz transform in terms of Riesz transform on quantum tori and Euclidean space

Xudong Lai, Xiao Xiong, Yue Zhang

For $1 < p < \infty$ , we establish the $L_{p}$ boundedness of the maximal Riesz transforms in terms of the Riesz transforms on quantum tori $L_{p} (T_{θ}^{d})$ , and quantum Eucli…