23 citations · 67 across the 25 of their papers we have counts for
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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…
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 , where and …
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…
Variational characterizations of weighted Hardy spaces and weighted spaces
Weichao Guo, Yongming Wen, Huoxiong Wu +1
This paper obtains new characterizations of weighted Hardy spaces and certain weighted type spaces via the boundedness of variation operators associated with approximate iden…
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…
The unboundedness of Hausdorff operators on Quasi-Banach spaces
Weichao Guo, Jianmiao Ruan, Guoping Zhao
In this note, we show that the Hausdorff operator is unbounded on a large family of Quasi-Banach spaces, unless is a zero operator.
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…
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…
Unimodular multipliers on -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 -modulation spaces of unimodular multipliers with symbol . Comparing with the pre…
Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces
Weichao Guo, Guoping Zhao
We study the boundedness on the Wiener amalgam spaces of Fourier multipliers with symbols of the type , for some real-valued functions whose prototype…
Boundedness and compactness of commutators associated with Lipschitz functions
Weichao Guo, Jianxun He, Huoxiong Wu +1
Let , and be a singular or fractional integral operator with homogeneous kernel . In this article, a CMO type space ${\rm CMO}_α(\mathbb R^n…
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…
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…
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…
Hausdorff operators on the Sobolev spaces
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…
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.
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 and Wiener amalgam spaces . We also obtain the optimal inclus…
Sharp embedding relations between Local Hardy and -Modulation Spaces
Guoping Zhao, Guilian Gao, Weichao Guo
We give the optimal embedding relations between local Hardy space and -modulation spaces, which extend the results for the embedding relations between local Hardy and modulation…
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 and Triebel-Lizorkin spaces for , which greatly im…
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 % -modulation spaces. Based on an observation that the -modulation space with smaller can be regarded a…
Characterization of Some Properties on Weighted Modulation Spaces
Weichao Guo, Jiecheng Chen, Dashan Fan +1
In this paper, some properties on weighted modulation and Wiener amalgam spaces are characterized by the corresponding properties on weighted Lebesgue spaces. As applications, shar…
Sharp Weighted Convolution Inequalities and Some Applications
Weichao Guo, Dashan Fan, Huoxiong Wu +1
In this paper, the index groups for which the weighted Young's inequalities hold in both continuous case and discrete case are characterized. As applications, the index groups for…