Open Access
2016 On the Discretization Technique for the Hardy-Littlewood Maximal Operators
Dariusz Kosz
Real Anal. Exchange 41(2): 287-292 (2016).


We extend the discretization method of de Guzmán to the setting of general metric measure spaces with mild assumptions on their structures. This method allows one to relate the best constants in the weak type $(1,1)$ inequalities for the relevant centered and uncentered Hardy-Littlewood maximal operators with the analogous constants received by applying the maximal operators to sums of Dirac deltas rather than to $L^1$ functions.


Download Citation

Dariusz Kosz. "On the Discretization Technique for the Hardy-Littlewood Maximal Operators." Real Anal. Exchange 41 (2) 287 - 292, 2016.


Published: 2016
First available in Project Euclid: 30 March 2017

zbMATH: 06848929
MathSciNet: MR3597320

Primary: 42B25
Secondary: 46E30

Keywords: discretization , Hardy-Littlewood maximal operators , weak type $(1,1)$

Rights: Copyright © 2016 Michigan State University Press

Vol.41 • No. 2 • 2016
Back to Top