Xiaokun Zhou

collaborators

2 papers

math.CA2025

The Bellman Function for Level Sets of Sparse Operators

Irina Holmes Fay, Zachary H. Pence, John Freeland Small +1

We investigate weak-type $(1, 1)$ boundedness of sparse operators with respect to Lebesgue measure. Specifically, we find the Bellman function maximizing level sets of sparse opera…

math.OA2020

On the dynamical asymptotic dimension of a free $Z^{d}$ -action on the Cantor set

Zhuang Niu, Xiaokun Zhou

Consider an arbitrary extension of a free $Z^{d}$ -action on the Cantor set. It is shown that it has dynamical asymptotic dimension at most $3^{d} - 1$ .

The Bellman Function for Level Sets of Sparse Operators

On the dynamical asymptotic dimension of a free Zd-action on the Cantor set

On the dynamical asymptotic dimension of a free $Z^{d}$ -action on the Cantor set