Cheng Zhang

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20242026

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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.AP2025

Strichartz estimates for orthonormal systems on compact manifolds

Xing Wang, An Zhang, Cheng Zhang

We establish new Strichartz estimates for orthonormal systems on compact Riemannian manifolds in the case of wave, Klein-Gordon and fractional Schrödinger equations. Our results ge…

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

Strichartz estimates for orthonormal systems on compact manifolds

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