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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 with . 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 -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…