A. Melas

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20032015

most citedThe best constant for centered Hardy-Littlewood maximal inequality

7 citations · 13 across the 5 of their papers we have counts for

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math.CA2015

Local lower norm estimates for dyadic maximal operators and related Bellman functions

Antonios D. Melas, Eleftherios N. Nikolidakis

We provide lower $L^{q}$ and weak $L^{p}$ -bounds for the localized dyadic maximal operator on $R^{n}$ , when the local $L^{1}$ and the local $L^{p}$ norm of the function are given. We actuall…

math.CA2003★ 7 cited

The best constant for centered Hardy-Littlewood maximal inequality

Antonios D. Melas

We find the exact value of the best possible constant $C$ for the weak type $(1, 1)$ inequality for the one dimensional centered Hardy-Littlewood maximal operator. We prove that $C$ …