You-Wei Benson Chen

activity

20222024

collaborators

3 papers

math.AP2024

$B M O$ and gradient estimates for solutions of critical elliptic equations

You-Wei Benson Chen, Juan Manfredi, Daniel Spector

In this paper we explore several applications of the recently introduced spaces of functions of bounded $β$ -dimensional mean oscillation for $β \in (0, n]$ to regularity theory of cr…

math.FA2023

Capacitary Maximal Inequalities and Applications

You-Wei Benson Chen, Keng Hao Ooi, Daniel Spector

In this paper we introduce capacitary analogues of the Hardy-Littlewood maximal function, \begin{align*} \mathcal{M}_C(f)(x):= \sup_{r>0} \frac{1}{C(B(x,r))} \int_{B(x,r)} |f|\;dC,…

math.AP2022

On functions of bounded $β$ -dimensional mean oscillation

You-Wei Benson Chen, Daniel Spector

In this paper, we define a notion of $β$ -dimensional mean oscillation of functions $u : Q_{0} \subset R^{d} \to R$ which are integrable on $β$ -dimensional subsets of t…

BMO and gradient estimates for solutions of critical elliptic equations

Capacitary Maximal Inequalities and Applications

On functions of bounded β-dimensional mean oscillation

$B M O$ and gradient estimates for solutions of critical elliptic equations

On functions of bounded $β$ -dimensional mean oscillation