Lixin Yan

activity

20062026

most citedRestriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means

11 citations · 69 across the 51 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

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 the generalized Hausdorff dimension of Besicovitch sets

Xianghong Chen, Lixin Yan, Yue Zhong

Keich (1999) showed that the sharp gauge function for the generalized Hausdorff dimension of Besicovitch sets in $R^{2}$ is between $r^{2} lo g 1/ r$ and $r^2(\log 1/r) (\log\log…

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…

Lp bounds for Stein's spherical maximal operators

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

On the generalized Hausdorff dimension of Besicovitch sets

On smoothing estimates for Schrödinger equations on product spaces Tm×Rn

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