Y. Chen

activity

20222026

collaborators

8 papers

math.CA2026

Commutators of Fractional Integrals with $BMO^{β}$ Functions

You-Wei Benson Chen, Alejandro Claros

We study commutators of the Riesz potential $I_{α}$ with functions $b$ in the capacitary space $BMO^{β} (R^{n})$ , defined through the Hausdorff content $\mathcal{H}^β_\i…

math.FA2025

Uncentered Fractional Maximal functions and mean oscillation spaces associated with dyadic Hausdorff content

Riju Basak, You-Wei Benson Chen, Prasun Roychowdhury

We study the action of uncentered fractional maximal functions on mean oscillation spaces associated with the dyadic Hausdorff content $H_{\infty}^{β}$ with $0 < β \leq n$ . Fo…

math.FA2025

An atomic decomposition of one-dimensional metric currents without boundary

You-Wei Benson Chen, Jesse Goodman, Felipe Hernandez +1

This paper proves an atomic decomposition of the space of $1$ -dimensional metric currents without boundary, in which the atoms are specified by closed Lipschitz curves with uniform…

math.FA2025

The Capacitary John-Nirenberg Inequality Revisited

Riju Basak, You-Wei Benson Chen, Prasun Roychowdhury +1

In this paper, we establish maximal function estimates, Lebesgue differentiation theory, Calderón-Zygmund decompositions, and John-Nirenberg inequalities for translation invariant…

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.FA2024

$β$ -dimensional sharp maximal function and applications

You-Wei Benson Chen, Alejandro Claros

In this paper, we study $β$ -dimensional sharp maximal operator defined as \begin{align*} \mathcal{M}^{\#} _βf(x) := \sup_{Q} \inf_{c \in \mathbb{R}} χ_{Q}(x) \frac{1}{\ell(Q)^β} \i…

math.FA2024

A self-improving property of Riesz potentials in BMO

You-Wei Benson Chen

In this paper we prove that for non-negative measurable functions $f$ , \begin{align*} I_αf \in BMO(\mathbb{R}^n) \text{ if and only if } I_αf \in BMO^β(\mathbb{R}^n) \text{ for } β…

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…

Commutators of Fractional Integrals with BMOβ Functions

Uncentered Fractional Maximal functions and mean oscillation spaces associated with dyadic Hausdorff content

An atomic decomposition of one-dimensional metric currents without boundary

The Capacitary John-Nirenberg Inequality Revisited

BMO and gradient estimates for solutions of critical elliptic equations

β-dimensional sharp maximal function and applications

A self-improving property of Riesz potentials in BMO

On functions of bounded β-dimensional mean oscillation

Commutators of Fractional Integrals with $BMO^{β}$ Functions

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

$β$ -dimensional sharp maximal function and applications

On functions of bounded $β$ -dimensional mean oscillation