Lixin Yan

activity

20222024

most citedThe commutators of Bochner-Riesz Operators for Hermite operator

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.CA2024

On maximal functions generated by Hörmander-type spectral multipliers

Peng Chen, Xixi Lin, Liangchuan Wu +1

Let $(X, d, μ)$ be a metric space with doubling measure and $L$ be a nonnegative self-adjoint operator on $L^{2} (X)$ whose heat kernel satisfies the Gaussian upper bound. We assume tha…

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.CA2023

The Garnett-Jones Theorem on BMO spaces associated with operators and applications

Peng Chen, Xuan Thinh Duong, Ji Li +2

Let $X$ be a metric space with doubling measure, and $L$ be a nonnegative self-adjoint operator on $L^{2} (X)$ whose heat kernel satisfies the Gaussian upper bound. Let $f$ be in the…

math.CA2023

On smoothing estimates for Schrödinger equations on product spaces $T^{m} \times R^{n}$

Xianghong Chen, Zihua Guo, Minxing Shen +1

Let $Δ_{T^{m} \times R^{n}}$ denote the Laplace-Beltrami operator on the product spaces $T^{m} \times R^{n}$ . In this article we show that $$ \left\|e^{it…

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 $J$ …

math.AP2022★ 1 cited

The commutators of Bochner-Riesz Operators for Hermite operator

Peng Chen, Xixi Lin, Lixin Yan

In this paper, we study the $L^{p}$ -boundedness of the commutator $[b, S_{R}^{δ} (H)] (f) = b S_{R}^{δ} (H) f - S_{R}^{δ} (H) (b f)$ of a BMO function $b$ and the Bochner-Riesz means $S_{R}^{δ} (H)$ for Her…