312 citations
- Xiamen UniversityCN14 papers
- Chinese Academy of SciencesCN9 papers
- Capital Normal UniversityCN7 papers
- Lanzhou UniversityCN6 papers
- Shanghai Jiao Tong UniversityCN6 papers
- Institute of Modern PhysicsCN5 papers
- Max Planck Institute for MathematicsDE5 papers
- Southern University of Science and TechnologyCN5 papers
- University of Chinese Academy of SciencesCN5 papers
- Institute of Mathematics, Academia SinicaTW4 papers
- Max Planck Institute for Mathematics in the SciencesDE4 papers
- Xiamen University of TechnologyCN4 papers
7 papers · 1 filter
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…
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…
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…