Weichao Guo

activity

20162025

most citedA revisit on the compactness of commutators

23 citations · 67 across the 25 of their papers we have counts for

collaborators

26 papers

math.CA2025

Sharp estimates of the Schrödinger type propagators on modulation spaces

Weichao Guo, Guoping Zhao

This paper is devoted to conducting a comprehensive and self-contained study of the boundedness on modulation spaces of Fourier integral operators arising when solving Schrödinger…

math.FA2024

Boundedness and compactness kernel theorem for $α$ -modulation spaces

Guoping Zhao, Weichao Guo

This paper is devoted to establishing the kernel theorems for $α$ -modulation spaces in terms of boundedness and compactness. We characterize the boundedness of a linear operator $A…

math.CA2023

Schrödinger operator on Wiener Amalgam spaces in the full range

Guoping Zhao, Weichao Guo

Using the technique of Gabor analysis, an equivalent characterization is established for the boundedness $e^{i Δ} : W_{m}^{p, q} \to W^{p, q}$ , where $0 < p_{i}, q_{i} \leq \infty$ and $m$ …

math.FA2022

A note on the operator window of modulation spaces

Weichao Guo, Guoping Zhao

Inspired by a recent article \cite[JFAA, 28(2):1-34, (2022)]{Skrettingland2022JoFAaA}, this paper is devoted to the study of suitable window class in the framework of bounded linea…

math.FA2022★ 1 cited

Characterization of boundedness on Wiener amalgam spaces of multilinear Rihaczek distributions

Weichao Guo, Guoping Zhao

In this paper, we give several characterizations for the boundedness of multilinear Rihaczek distributions acting from Wiener amalgam spaces to modulation and Fourier modulation sp…

math.CA2021

Matrix dilation and Hausdorff operators on modulation spaces

Weichao Guo, Jiangkun Luo, Guoping Zhao

In this paper, we establish the asymptotic estimates for the norms of the matrix dilation operators on modulation spaces. As an application, we study the boundedness on modulation…

math.FA2020

Characterization of boundedness on weighted modulation spaces of $τ$ -Wigner distributions

Weichao Guo, Jiecheng Chen, Dashan Fan +1

This paper is devoted to give several characterizations on a more general level for the boundedness of $τ$ -Wigner distributions acting from weighted modulation spaces to weighted m…

math.CA2020★ 1 cited

Variational characterizations of weighted Hardy spaces and weighted $B M O$ spaces

Weichao Guo, Yongming Wen, Huoxiong Wu +1

This paper obtains new characterizations of weighted Hardy spaces and certain weighted $B M O$ type spaces via the boundedness of variation operators associated with approximate iden…

math.CA2020★ 1 cited

Limiting weak-type behaviors for factional maximal operators and fractional integrals with rough kernel

Guoping Zhao, Weichao Guo

By a reduction method, the limiting weak-type behaviors of factional maximal operators and fractional integrals are established without any smoothness assumption on the kernel, whi…

math.CA2020

The unboundedness of Hausdorff operators on Quasi-Banach spaces

Weichao Guo, Jianmiao Ruan, Guoping Zhao

In this note, we show that the Hausdorff operator $H_{Φ}$ is unbounded on a large family of Quasi-Banach spaces, unless $H_{Φ}$ is a zero operator.

math.CA2019

On the compactness of oscillation and variation of commutators

Weichao Guo, Yongming Wen, Huoxiong Wu +1

In this paper, we first establish the weighted compactness result for oscillation and variation associated with the truncated commutator of singular integral operators. Moreover, w…

math.CA2019★ 1 cited

On relatively compact sets in quasi-Banach function spaces

Weichao Guo, Guoping Zhao

This paper is devoted to the study of the relatively compact sets in Quasi-Banach function spaces, providing an important improvement of the known results. As an application, we ta…

math.CA2019

Unimodular multipliers on $α$ -modulation spaces: A revisit with new method under weaker conditions

Guoping Zhao, Weichao Guo

By a new method derived from Nicola--Primo--Tabacco[24], we study the boundedness on $α$ -modulation spaces of unimodular multipliers with symbol $e^{i μ (ξ)}$ . Comparing with the pre…

math.CA2018★ 1 cited

Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces

Weichao Guo, Guoping Zhao

We study the boundedness on the Wiener amalgam spaces $W_{s}^{p, q}$ of Fourier multipliers with symbols of the type $e^{i μ (ξ)}$ , for some real-valued functions $μ (ξ)$ whose prototype…

math.CA2018★ 1 cited

Boundedness and compactness of commutators associated with Lipschitz functions

Weichao Guo, Jianxun He, Huoxiong Wu +1

Let $α \in (0, 1]$ , $β \in [0, n)$ and $T_{Ω, β}$ be a singular or fractional integral operator with homogeneous kernel $Ω$ . In this article, a CMO type space ${\rm CMO}_α(\mathbb R^n…

math.CA2017★ 23 cited

A revisit on the compactness of commutators

Weichao Guo, Huoxiong Wu, Dongyong Yang

A new characterization of CMO(R^n) is established by the local mean oscillation. Some characterizations of iterated compact commutators on weighted Lebesgue spaces are given, which…

math.CA2017★ 2 cited

Limiting weak-type behaviors of some integral operators

Weichao Guo, Jianxun He, Huoxiong Wu

In this paper, we explore the limiting weak-type behaviors of some integral operators including maximal operators, singular and fractional integral operators and maximal truncated…

math.CA2017★ 7 cited

The unified theory for the necessity of bounded commutators and applications

Weichao Guo, Jiali Lian, Huoxiong Wu

The general methods which are powerful for the necessity of bounded commutators are given. As applications, some necessary conditions for bounded commutators are first obtained in…

math.CA2017

Hausdorff operators on the Sobolev spaces $W^{k, 1}$

Guoping Zhao, Weichao Guo

This paper is served as a first contribution regarding the boundedness of Hausdorff operators on function spaces with smoothness. The sharp conditions are established for boundedne…

math.CA2017★ 8 cited

Hausdorff operators on modulation and Wiener amalgam spaces

Guoping Zhao, Dashan Fan, Weichao Guo

We give the sharp conditions for boundedness of Hausdorff operators on certain modulation and Wiener amalgam spaces.

math.CA2016

Characterization of inclusion relations between wiener amalgam and some classical spaces

Weichao Guo, Huoxiong Wu, Qixiang Yang +1

In this paper, we establish the sharp conditions for the inclusion relations between Besov spaces $B_{p, q}$ and Wiener amalgam spaces $W_{p, q}^{s}$ . We also obtain the optimal inclus…

math.CA2016★ 1 cited

Sharp embedding relations between Local Hardy and $α$ -Modulation Spaces

Guoping Zhao, Guilian Gao, Weichao Guo

We give the optimal embedding relations between local Hardy space and $α$ -modulation spaces, which extend the results for the embedding relations between local Hardy and modulation…

math.CA2016

Inclusion relations between Modulation and Triebel-Lizorkin spaces

Weichao Guo, Huoxiong Wu, Guoping Zhao

In this paper, we obtain the sharp conditions of the inclusion relations between modulation spaces $M_{p, q}^{s}$ and Triebel-Lizorkin spaces $F_{p, r}$ for $p \leq 1$ , which greatly im…

math.CA2016★ 1 cited

Full Characterization of embedding relations between alpha modulation spaces

Weichao Guo, Dashan Fan, Huoxiong Wu +1

In this paper, we consider the embedding relations between any two $α$ % -modulation spaces. Based on an observation that the $α$ -modulation space with smaller $α$ can be regarded a…

Sharp estimates of the Schrödinger type propagators on modulation spaces

Boundedness and compactness kernel theorem for α-modulation spaces

Schrödinger operator on Wiener Amalgam spaces in the full range

A note on the operator window of modulation spaces

Characterization of boundedness on Wiener amalgam spaces of multilinear Rihaczek distributions

Matrix dilation and Hausdorff operators on modulation spaces

Characterization of boundedness on weighted modulation spaces of τ-Wigner distributions

Variational characterizations of weighted Hardy spaces and weighted BMO spaces

Limiting weak-type behaviors for factional maximal operators and fractional integrals with rough kernel

The unboundedness of Hausdorff operators on Quasi-Banach spaces

On the compactness of oscillation and variation of commutators

On relatively compact sets in quasi-Banach function spaces

Unimodular multipliers on α-modulation spaces: A revisit with new method under weaker conditions

Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces

Boundedness and compactness of commutators associated with Lipschitz functions

A revisit on the compactness of commutators

Limiting weak-type behaviors of some integral operators

The unified theory for the necessity of bounded commutators and applications

Hausdorff operators on the Sobolev spaces Wk,1

Hausdorff operators on modulation and Wiener amalgam spaces

Characterization of inclusion relations between wiener amalgam and some classical spaces

Sharp embedding relations between Local Hardy and α-Modulation Spaces

Inclusion relations between Modulation and Triebel-Lizorkin spaces

Full Characterization of embedding relations between alpha modulation spaces

Boundedness and compactness kernel theorem for $α$ -modulation spaces

Characterization of boundedness on weighted modulation spaces of $τ$ -Wigner distributions

Variational characterizations of weighted Hardy spaces and weighted $B M O$ spaces

Unimodular multipliers on $α$ -modulation spaces: A revisit with new method under weaker conditions

Hausdorff operators on the Sobolev spaces $W^{k, 1}$

Sharp embedding relations between Local Hardy and $α$ -Modulation Spaces