4 papers · 1 filter
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 with .…
-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}} Ï_{Q}(x) \frac{1}{\ell(Q)^β…
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 -dimensional metric currents without boundary, in which the atoms are specified by closed Lipschitz curves with uniform…
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…