On the centered Hardy-Littlewood maximal operator

DOI10.1090/S0002-9947-02-02900-8zbMath1015.42015MaRDI QIDQ4529736

Antonios D. Melas

Publication date: 6 May 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

centered Hardy-Littlewood maximal operatorweak type (1,1) inequality

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (7)

Singular measures and convolution operators ⋮ Weak-type lower bounds for high-dimensional Hardy-Littlewood maximal operators on certain measures via averaging operators ⋮ On high dimensional maximal operators ⋮ The weak type \((1,1)\) bounds for the maximal function associated to cubes grow to infinity with the dimension ⋮ On a covering problem related to the centered Hardy--Littlewood maximal inequality ⋮ Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function ⋮ Maximal operators on Lorentz spaces in non-doubling setting

Cites Work

• Unnamed Item
• Weak type (1,1) inequalities of maximal convolution operators
• Weighted Estimates for the Hardy-Littlewood Maximal Operator and Dirac Deltas
• A note on the one-dimensional maximal function
• Remarks on the Hardy–Littlewood maximal function
• Best Constants for Uncentred Maximal Functions
• Representation of the general solution of an operator differential equation
• Research Problems in Complex Analysis

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