Long Huang

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math.CA2026

The distance from functions in BMO to BLO

Hua Huang, Long Huang, Ciqiang Zhuo

Let BMO and BLO denote the spaces of all locally integrable real-valued functions on $R^{n}$ with bounded mean oscillation and bounded lower oscillation, respectively. It is…

math.CA2026

Capacitary Muckenhoupt Weight, BMO and BLO Spaces with Hausdorff Content, Factorization Theorems and Applications

Long Huang, Yangzhi Zhang, Ciqiang Zhuo

Let $I^´ \in (0, n]$ , $p \in [1, \infty)$ , $H_{\infty}^{I^} ´$ denote the Hausdorff content on $R^{n}$ , and $A_{p, I^´}$ be the capacitary Muckenhoupt weight class. We a…

math.CA2025

Capacitary Muckenhoupt Weights and Weighted Norm Inequalities for Hardy-Littlewood Maximal Operators

Long Huang, Yangzhi Zhang, Ciqiang Zhuo

Let $H_{\infty}^{I^} ´$ denote the Hausdorff content of dimension $I^´ \in (0, n]$ defined on subsets of $R^{n}$ . The principal problem, considered in this paper, is to char…