Wu-Yi Pan

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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.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 $μ$ on $R^{d}$ have the uniform lower $L^{p}$ -bounds (independent of $μ$ ) that…