Lixin Yan

activity

20242026

collaborators

6 papers

math.AP2026

Herz versus Fefferman: Symmetric and asymmetric Bochner--Riesz theory

Peng Chen, Dangyang He, Adam Sikora +1

We study Bochner--Riesz summability for a one-dimensional model of noncompact manifolds with ends. Each end has an effective Euclidean dimension, and these dimensions may differ fr…

math.CA2025

Growth Estimates for Solutions to the Wave Equation on Damek--Ricci Spaces

Yunxiang Wang, Lixin Yan, Hong-Wei Zhang

Let $L$ be the left-invariant distinguished Laplacian, and let $d I ¨ $ denote the right Haar measure on a Damek--Ricci space $S$ . Let $u (t, x)$ denote the solution…

math.FA2025

The Spherical Maximal Operators on Hyperbolic Spaces

Peng Chen, Minxing Shen, Yunxiang Wang +1

In this article we investigate $L^{p}$ boundedness of the spherical maximal operator $m^{I^} \pm$ of (complex) order $I^\pm$ on the $n$ -dimensional hyperbolic space $H^{n}$ ,…

math.CA2025

Sharp $L^{p}$ -estimates for wave equation on $a x + b$ groups

Yunxiang Wang, Lixin Yan

Let $G$ be the group $R_{+} ⋉ R^{n}$ endowed with Riemannian symmetric space metric $d$ and the right Haar measure $d I ¨ $ which is of $a x + b$ type, and $…

math.CA2025

$L^{p} \to L^{q}$ estimates for Stein's spherical maximal operators

Naijia Liu, Minxing Shen, Liang Song +1

In this article we consider a modification of the Stein's spherical maximal operator of complex order $I^\pm$ on $R^{n}$ : $$ {\mathfrak M}^Î±_{[1,2]} f(x) =\sup\limits_{t\in […

math.CA2024

On maximal functions generated by HÃ¶rmander-type spectral multipliers

Peng Chen, Xixi Lin, Liangchuan Wu +1

Let $(X, d, I^¼)$ 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 th…

Herz versus Fefferman: Symmetric and asymmetric Bochner--Riesz theory

Growth Estimates for Solutions to the Wave Equation on Damek--Ricci Spaces

The Spherical Maximal Operators on Hyperbolic Spaces

Sharp Lp-estimates for wave equation on ax+b groups

Lp→Lq estimates for Stein's spherical maximal operators

On maximal functions generated by HÃ¶rmander-type spectral multipliers

Sharp $L^{p}$ -estimates for wave equation on $a x + b$ groups

$L^{p} \to L^{q}$ estimates for Stein's spherical maximal operators