Guoxia Feng

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20232026

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math.AP2026

Orthonormal Strichartz estimates over fractal time

Guoxia Feng, Jinbong Lee, Sanghyuk Lee

We study Strichartz estimates for orthonormal families of initial data when time is integrated against an $α$ -dimensional Frostman measure $μ$ , $0 < α \leq 1$ , with coefficients measure…

math.AP2025

Strichartz estimates involving orthonormal systems at the critical summability exponent

Guoxia Feng, Manli Song, Huoxiong Wu

The primary objective of this paper is to investigate the orthonormal Strichartz estimates at the critical summability exponent for the Schrödinger operator $e^{i t Δ}$ with initial…

math.AP2023

Decay estimates for a class of semigroups related to self-adjoint operators on metric measure spaces

Guoxia Feng, Manli Song, Huoxiong Wu

Assume that $(X, d, μ)$ is a metric space endowed with a non-negative Borel measure $μ$ satisfying the doubling condition and the additional condition that $μ (B (x, r)) ≳ r^{n}$ for…