most citedThe divergence of Mock Fourier series for spectral measures

5 citations · 5 across the 6 of their papers we have counts for

collaborators

6 papers

math.MG2022

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…

math.CA2022

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…

math.CA2022

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.

math.MG2022

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…

math.MG2022

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…

math.FA2022★ 5 cited

The divergence of Mock Fourier series for spectral measures

Wu-Yi Pan, Wen-Hui Ai

In this paper, we study divergence properties of Fourier series on Cantor-type fractal measure, also called Mock Fourier series. We give a sufficient condition under which the Mock…