Ciqiang Zhuo

activity

20142026

most citedVariable Weak Hardy Spaces and Their Applications

101 citations · 110 across the 17 of their papers we have counts for

collaborators

20 papers

math.CA2026

Weak- $L^{\infty}$ and BMO with Hausdorff Content

Hao Guo, Long Huang, Yangzhi Zhang +1

The space of weak- $L^{\infty}$ on measure space was introduced by Bennett et al. (Ann. of Math., 113(1981), 601-611) and proved to contain the space of $L^{\infty}$ and possess the a…

math.CA2026

Reverse Hölder Class and Two-Parameter Good- $λ$ Inequality over Hausdorff Content

Long Huang, Yangzhi Zhang, Ciqiang Zhuo

Classical harmonic analysis is built upon Lebesgue (or more general) measure. Such a framework is remarkably successful for sets of full ambient dimension, but becomes intrinsicall…

math.CA2026

A Note on Capacity Muckenhoupt Weights with respect to the Hausdorff Content

Yangzhi Zhang, Ciqiang Zhuo

Let $p \in [1, \infty)$ and $δ \in (0, n]$ . Recently, to characterize the weighted boundedness of maximal operator on Choquet integrals based on Hausdorff content $H_{\infty}^{δ}$ ,…

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.CA2025

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

Long Huang, Yangzhi Zhang, Ciqiang Zhuo

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

math.CA2025

Hausdorff content $A_{p}$ weights: weighted maximal inequalities and fundamental structural properties

Long Huang, Yangzhi Zhang, Ciqiang Zhuo

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

math.FA2024

The Molecular Characterizations of Variable Triebel-Lizorkin Spaces Associated with the Hermite Operator and Its Applications

Qi Sun, Ciqiang Zhuo

In this article, we introduce inhomogeneous variable Triebel-Lizorkin spaces, $F_{p (\cdot), q (\cdot)}^{α (\cdot), H} (R^{n})$ , associated with the Hermite operator $H := - Δ + ∣ x ∣^{2}$ ,…

math.FA2023

Sharp Poincaré--Sobolev Inequalities of Choquet--Lorentz Integrals with Respect to Hausdorff Contents on Bounded John Domains

Long Huang, Yuanshou Cao, Dachun Yang +1

Let $Ω$ be a bounded John domain in $R^{n}$ with $n \geq 2$ , and let $H_{\infty}^{δ}$ denote the Hausdorff content of dimension $δ \in (0, n]$ . In this article, the auth…

math.CA2021

Matrix weighted Kolmogorov-Riesz's compactness theorem

Shenyu Liu, Dongyong Yang, Ciqiang Zhuo

In this paper, several versions of the Kolmogorov-Riesz compactness theorem in weighted Lebesgue spaces with matrix weights are obtained. In particular, when the matrix weight $W$ …

math.CA2020

Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains

Ciqiang Zhuo, Marc Hovemann, Winfried Sickel

In this article the authors study complex interpolation of Sobolev-Morrey spaces and their generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded do…

math.CA2018★ 1 cited

Variable Weak Hardy Spaces $W H_{L}^{p (\cdot)} (R^{n})$ Associated with Operators Satisfying Davies-Gaffney Estimates

Ciqiang Zhuo, Dachun Yang

Let $p (\cdot) : R^{n} \to (0, 1]$ be a variable exponent function satisfying the globally log-Hölder continuous condition and $L$ a one to one operator of type $ω$ in $L^2({\mat…

math.CA2017

Interpolation between $H^{p (\cdot)} (R^{n})$ and $L^{\infty} (R^{n})$ : Real Method

Ciqiang Zhuo, Dachun Yang, Wen Yuan

Let $p (\cdot) : R^{n} \to (0, \infty)$ be a variable exponent function satisfying the globally log-Hölder continuous condition. In this article, the authors first obtain a decom…

math.CA2016★ 101 cited

Variable Weak Hardy Spaces and Their Applications

Xianjie Yan, Dachun Yang, Wen Yuan +1

Let $p (\cdot) : R^{n} \to (0, \infty)$ be a variable exponent function satisfying the globally log-Hölder continuous condition. In this article, the authors first introduce the…

math.CA2016

Maximal Function Characterizations of Variable Hardy Spaces Associated with Non-negative Self-adjoint Operators Satisfying Gaussian Estimates

Ciqiang Zhuo, Dachun Yang

Let $p (\cdot) : R^{n} \to (0, 1]$ be a variable exponent function satisfying the globally $lo g$ -Hölder continuous condition and $L$ a non-negative self-adjoint operator on $L^2…

math.CA2016

Variable Hardy Spaces Associated with Operators Satisfying Davies-Gaffney Estimates

Dachun Yang, Junqiang Zhang, Ciqiang Zhuo

Let $L$ be a one-to-one operator of type $ω$ in $L^{2} (R^{n})$ , with $ω \in [0, π /2)$ , which has a bounded holomorphic functional calculus and satisfies the Davies-Gaffney esti…

math.CA2015★ 2 cited

Molecular Characterizations and Dualities of Variable Exponent Hardy Spaces Associated with Operators

Dachun Yang, Ciqiang Zhuo

Let $L$ be a linear operator on $L^{2} (R^{n})$ generating an analytic semigroup ${e^{- t L}}_{t \geq 0}$ with kernels having pointwise upper bounds and $p(\cdot):\ \mathbb R^n\to(…

math.CA2015

Characterizations of Variable Exponent Hardy Spaces via Riesz Transforms

Dachun Yang, Ciqiang Zhuo, Eiichi Nakai

Let $p (\cdot) : R^{n} \to (0, \infty)$ be a variable exponent function satisfying that there exists a constant $p_{0} \in (0, p_{-})$ , where $p_-:=\mathop{\mathrm {ess\,inf}}_{x\in \ma…

math.CA2015★ 1 cited

Besov-Type Spaces with Variable Smoothness and Integrability

Dachun Yang, Ciqiang Zhuo, Wen Yuan

In this article, the authors introduce Besov-type spaces with variable smoothness and integrability. The authors then establish their characterizations, respectively, in terms of $…

math.CA2015

Triebel-Lizorkin-Type Spaces with Variable Exponents

Dachun Yang, Ciqiang Zhuo, Wen Yuan

In this article, the authors first introduce the Triebel-Lizorkin-type space $F_{p (\cdot), q (\cdot)}^{s (\cdot), ϕ} (R^{n})$ with variable exponents, and establish its $φ$ -transf…

math.CA2014★ 5 cited

Intrinsic Square Function Characterizations of Hardy Spaces with Variable Exponents

Ciqiang Zhuo, Dachun Yang, Yiyu Liang

Let $p (\cdot) : R^{n} \to (0, \infty)$ be a measurable function satisfying some decay condition and some locally log-Hölder continuity. In this article, via first establishing c…

Weak-L∞ and BMO with Hausdorff Content

Reverse Hölder Class and Two-Parameter Good-λ Inequality over Hausdorff Content

A Note on Capacity Muckenhoupt Weights with respect to the Hausdorff Content

The distance from functions in BMO to BLO

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

Hausdorff content Ap​ weights: weighted maximal inequalities and fundamental structural properties

The Molecular Characterizations of Variable Triebel-Lizorkin Spaces Associated with the Hermite Operator and Its Applications

Sharp Poincaré--Sobolev Inequalities of Choquet--Lorentz Integrals with Respect to Hausdorff Contents on Bounded John Domains

Matrix weighted Kolmogorov-Riesz's compactness theorem

Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains

Variable Weak Hardy Spaces WHLp(⋅)​(Rn) Associated with Operators Satisfying Davies-Gaffney Estimates

Interpolation between Hp(⋅)(Rn) and L∞(Rn): Real Method

Variable Weak Hardy Spaces and Their Applications

Maximal Function Characterizations of Variable Hardy Spaces Associated with Non-negative Self-adjoint Operators Satisfying Gaussian Estimates

Variable Hardy Spaces Associated with Operators Satisfying Davies-Gaffney Estimates

Molecular Characterizations and Dualities of Variable Exponent Hardy Spaces Associated with Operators

Characterizations of Variable Exponent Hardy Spaces via Riesz Transforms

Besov-Type Spaces with Variable Smoothness and Integrability

Triebel-Lizorkin-Type Spaces with Variable Exponents

Intrinsic Square Function Characterizations of Hardy Spaces with Variable Exponents

Weak- $L^{\infty}$ and BMO with Hausdorff Content

Reverse Hölder Class and Two-Parameter Good- $λ$ Inequality over Hausdorff Content

Hausdorff content $A_{p}$ weights: weighted maximal inequalities and fundamental structural properties

Variable Weak Hardy Spaces $W H_{L}^{p (\cdot)} (R^{n})$ Associated with Operators Satisfying Davies-Gaffney Estimates

Interpolation between $H^{p (\cdot)} (R^{n})$ and $L^{\infty} (R^{n})$ : Real Method