H. Jia

activity

20212026

most citedBoundedness of Fractional Integrals on Hardy Spaces Associated with Ball Quasi-Banach Function Spaces

2 citations · 3 across the 7 of their papers we have counts for

collaborators

8 papers

math.FA2026

From Sharp Self-Improvement to Exact Perimeter Formulas in Bourgain--Brezis--Mironescu Spaces

Hongchao Jia, Xianjie Yan

Let $Q_{0} := (0, 1)^{n}$ . We define $B_{q} (Q_{0})$ by replacing the local $L^{1}$ mean oscillation in the Bourgain--Brezis--Mironescu space $B (Q_{0})$ with its $L^{q}$ counterp…

math.CA2024

The Variable Muckenhoupt Weight Revisited

Hongchao Jia, Xianjie Yan

Let $p (\cdot) : R^{n} \to (0, \infty)$ be a variable exponent function and $X$ a ball quasi-Banach function space. In this paper, we first study the relationship between two kin…

math.FA2022

Boundedness of Calderón--Zygmund operators on ball Campanato-type function spaces

Yiqun Chen, Hongchao Jia, Dachun Yang

Let $X$ be a ball quasi-Banach function space on $R^{n}$ satisfying some mild assumptions. In this article, the authors first find a reasonable version $T$ of t…

math.FA2022

Boundedness of Fractional Integrals on Ball Campanato-Type Function Spaces

Yiqun Chen, Hongchao Jia, Dachun Yang

Let $X$ be a ball quasi-Banach function space on $R^{n}$ satisfying some mild assumptions and let $α \in (0, n)$ and $β \in (1, \infty)$ . In this article, when $α \in (0, 1)$ , the a…

math.CA2022★ 2 cited

Boundedness of Fractional Integrals on Hardy Spaces Associated with Ball Quasi-Banach Function Spaces

Yiqun Chen, Hongchao Jia, Dachun Yang

Let $X$ be a ball quasi-Banach function space on $R^{n}$ and $H_{X} (R^{n})$ the Hardy space associated with $X$ , and let $α \in (0, n)$ and $β \in (1, \infty)$ . In this art…

math.CA2021

Boundedness of Calderón--Zygmund Operators on Special John--Nirenberg--Campanato and Hardy-Type Spaces via Congruent Cubes

Hongchao Jia, Jin Tao, Dachun Yang +2

Let $p \in [1, \infty]$ , $q \in (1, \infty)$ , $s \in Z_{+} := N \cup {0}$ , and $α \in R$ . In this article, the authors introduce a reasonable version $T$ of…

math.CA2021★ 1 cited

Boundedness of Fractional Integrals on Special John--Nirenberg--Campanato and Hardy-Type Spaces via Congruent Cubes

Hongchao Jia, Jin Tao, Dachun Yang +2

Let $p \in [1, \infty]$ , $q \in [1, \infty)$ , $s \in Z_{+} := N \cup {0}$ , and $α \in R$ . In this article, the authors first find a reasonable version $\widetilde{I}_β…

math.CA2021

Estimates for Littlewood--Paley Operators on Ball Campanato-Type Function Spaces

Hongchao Jia, Dachun Yang, Wen Yuan +1

Let $X$ be a ball quasi-Banach function space on $R^{n}$ and assume that the Hardy--Littlewood maximal operator satisfies the Fefferman--Stein vector-valued maximal inequal…