Naijia Liu

collaborators

2 papers

math.AP2023

Lp bounds for Stein's spherical maximal operators

Naijia Liu, Minxing Shen, Liang Song +1

Let $M^{α}$ be the spherical maximal operators of complex order $α$ on $R^{n}$ . In this article we show that when $n \geq 2$ , suppose \begin{eqnarray*} \|{\frak M}^α f…

math.CA2022

Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups

Naijia Liu, Lixin Yan

Let $G ≅ R^{d} ⋉ R$ be a finite-dimensional two-step nilpotent group with the group multiplication $(x, u) \cdot (y, v) \to (x + y, u + v + x^{T} J y)$ where $J$ …