Xiaojing Chen

collaborators

2 papers

math.PR2025

On the $L^{p}$ Norms of Random Exponential Sums and the Metric Domination Principle over the Simple Random Walk

Yunfan Zhao, Xiaojing Chen

Let $R (n)$ denote the Simple Random Walk on $Z$ . We investigate the $L^{p}$ -norms of random exponential sums of the form $S_{A} (a, y) = \sum_{j \in A} a_{j} e^{2 π i y R (j)}$ eval…

math.FA2025

Rellich-Kondrachov type theorems on the half-space with general singular weights

Yunfan Zhao, Xiaojing Chen

We prove Rellich-Kondrachov type theorems on the half-space $H^{N + 1} = {(y, x) \in R \times R^{N} : y > 0}$ endowed with the general weighted meas…

On the Lp Norms of Random Exponential Sums and the Metric Domination Principle over the Simple Random Walk

Rellich-Kondrachov type theorems on the half-space with general singular weights

On the $L^{p}$ Norms of Random Exponential Sums and the Metric Domination Principle over the Simple Random Walk