4 papers
math.CA2021
On the Bounds of Weak Norm of Hardy-Littlewood Maximal Operator with Kernels
Moyan Qin, Huoxiong Wu, Qingying Xue
Let , be a function of homogeneous of degree zero, and be the Hardy-Littlewood maximal operator associated with defined by $M_Ω(f)(x) = \su…
math.CA2021
Limiting weak-type behaviors for singular integrals with rough kernels
Moyan Qin, Huoxiong Wu, Qingying Xue
Let be a function of homogeneous of degree zero and vanish on the unit sphere . In this paper, we investigate the limiting weak-type behavior for singular integr…
math.CA2021
The limiting weak type behaviors and The lower bound for a new weak type norm of strong maximal operators
Moyan Qin, Huoxiong Wu, Qingying Xue
It is well known that the weak () bounds doesn't hold for the strong maximal operators, but it still enjoys certain weak type norm inequality. Let $Φ_n(t)=t(1+(\log^…
math.CA2020
Limiting weak-type behavior for rough bilinear operators
Moyan Qin, Huoxiong Wu, Qingying Xue
Let be functions of homogeneous of degree and . In this paper, we investigate the limiti…