23 citations · 67 across the 25 of their papers we have counts for
5 papers · 1 filter
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.