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math.FA2024
-dimensional sharp maximal function and applications
You-Wei Benson Chen, Alejandro Claros
In this paper, we study -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 , \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…