Xing Wang

activity

20142025

most citedA lower bound for the nodal sets of Steklov eigenfunctions

5 citations · 5 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.AP2025

$L^{p}$ -Logvinenko-Sereda sets and $L^{p}$ -Carleson measures on compact manifolds

Xing Wang, Xiangjin Xu, Cheng Zhang

Marzo and Ortega-Cerdà gave geometric characterizations for $L^{p}$ -Logvinenko-Sereda sets on the standard sphere for all $1 \leq p < \infty$ . Later, Ortega-Cerdà and Pridhnani further i…

math.AP2024

A few sharp estimates of harmonic functions with applications to Steklov eigenfunctions

Xing Wang, Cheng Zhang

On smooth compact manifolds with smooth boundary, we first establish the sharp lower bounds for the restrictions of harmonic functions in terms of their frequency functions, by usi…

math.AP2023

Sharp local $L^{p}$ estimates for the Hermite eigenfunctions

Xing Wang, Cheng Zhang

We investigate the concentration of eigenfunctions for the Hermite operator $H = - Δ + ∣ x ∣^{2}$ in $R^{n}$ by establishing local $L^{p}$ bounds over the compact sets with arbitrary d…

math.AP2014★ 5 cited

A lower bound for the nodal sets of Steklov eigenfunctions

Xing Wang, Jiuyi Zhu

We consider the lower bound of nodal sets of Steklov eigenfunctions on smooth Riemannian manifolds with boundary--the eigenfunctions of the Dirichlet-to-Neumann map. Let $N_{λ}$ be i…

Lp-Logvinenko-Sereda sets and Lp-Carleson measures on compact manifolds

A few sharp estimates of harmonic functions with applications to Steklov eigenfunctions

Sharp local Lp estimates for the Hermite eigenfunctions

A lower bound for the nodal sets of Steklov eigenfunctions

$L^{p}$ -Logvinenko-Sereda sets and $L^{p}$ -Carleson measures on compact manifolds

Sharp local $L^{p}$ estimates for the Hermite eigenfunctions