5 papers
Fixed points of the uncentered Hardy-Littlewood maximal operator
Wu-yi Pan
We give a survey, known and new results on the beingness of fixed points of the maximal operator in the more general settings of metric measure space. In particular, we prove that…
A remark on the Hardy-Littlewood maximal functions
Wu-yi Pan
We investigate the magnitude relation of the non-centered Hardy-Littlewood maximal operators and centered one. By using a discretization technique, we prove two facts: the first on…
The Best constant for the almost uncentered maximal operator on radial decreasing functions
Wu-yi Pan
The purpose of this note is to find the least weak type bound for the almost uncentered maximal operator on radial decreasing functions.
Limiting weak type behaviors of maximal operator on the positive real axis
Wu-yi Pan, Sheng-jian Li
In this note, we establish a discrete method to characterize the limiting weak type behaviors of the centered Hardy-Littlewood maximal operator on the positive real axis through te…
Lower bounds for uncentered maximal functions on metric measure space
Wu-yi Pan, Xin-han Dong
We show that the uncentered Hardy-Littlewood maximal operators associated with the Radon measure on have the uniform lower -bounds (independent of ) that…