Ziyi He

activity

20182026

most citedA Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type

45 citations · 49 across the 8 of their papers we have counts for

collaborators

8 papers

math.FA2026

Product Hardy Spaces on Spaces of Homogeneous Type: Discrete Product Calderón-Type Reproducing Formula, Atomic Characterization, and Product Calderón--Zygmund Operators

Ziyi He, Dachun Yang, Taotao Zheng

Let $i \in {1, 2}$ and $X_{i}$ be a space of homogeneous type in the sense of Coifman and Weiss with the upper dimension $ω_{i}$ . Also let $η_{i}$ be the smoothness index of the Auscher--…

math.FA2021

Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Characterizations of Maximal Functions, Decompositions, and Dual Spaces

Xianjie Yan, Ziyi He, Dachun Yang +1

Let $(X, ρ, μ)$ be a space of homogeneous type in the sense of Coifman and Weiss, and $Y (X)$ a ball quasi-Banach function space on $X$ , which support…

math.FA2021

Wavelet Characterization of Besov and Triebel--Lizorkin Spaces on Spaces of Homogeneous Type and Its Applications

Ziyi He, Fan Wang, Dachun Yang +1

In this article, the authors establish the wavelet characterization of Besov and Triebel--Lizorkin spaces on a given space $(X, d, μ)$ of homogeneous type in the sense of Coifman and…

math.FA2021★ 2 cited

Difference Characterization of Besov and Triebel-Lizorkin Spaces on Spaces of Homogeneous Type

Fan Wang, Ziyi He, Dachun Yang +1

In this article, the authors introduce the spaces of Lipschitz type on spaces of homogeneous type in the sense of Coifman and Weiss, and discuss their relations with Besov and Trie…

math.FA2020

Besov and Triebel-Lizorkin Spaces on Spaces of Homogeneous Type with Applications to Boundedness of Calderón-Zygmund Operators

Fan Wang, Yongsheng Han, Ziyi He +1

In this article, the authors introduce Besov and Triebel-Lizorkin spaces on spaces of homogeneous type in the sense of Coifman and Weiss, prove that these (in)homogeneous Besov and…

math.CA2019★ 2 cited

Real-Variable Characterizations of Local Hardy Spaces on Spaces of Homogeneous Type

Ziyi He, Dachun Yang, Wen Yuan

Suppose that $(X, d, μ)$ is a space of homogeneous type, with upper dimension $μ$ , in the sense of R. R. Coifman and G. Weiss. Let $η$ be the Hölder regularity index of wavelets cons…

math.CA2018★ 45 cited

A Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type

Ziyi He, Yongsheng Han, Ji Li +3

Let $(X, d, μ)$ be a space of homogeneous type, with the upper dimension $ω$ , in the sense of R. R. Coifman and G. Weiss. Assume that $η$ is the smoothness index of the wavelets on $…

math.CA2018

New Calderón Reproducing Formulae with Exponential Decay on Spaces of Homogeneous Type

Ziyi He, Liguang Liu, Dachun Yang +1

Assume that $(X, d, μ)$ is a space of homogeneous type in the sense of Coifman and Weiss. In this article, motivated by the breakthrough work of P. Auscher and T. Hytönen on orthon…