Remarks on the Hardy–Littlewood maximal function

DOI10.1017/S0308210500027116zbMath0892.42010OpenAlexW2083571536MaRDI QIDQ4380620

Jésus M. Aldaz

Publication date: 16 July 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500027116

zbMATH Keywords

best constantweak type (1,1)centred Hardy-Littlewood maximal function

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (9)

On the centered Hardy-Littlewood maximal operator ⋮ Weighted boundedness of multilinear maximal function using Dirac deltas ⋮ Singular measures and convolution operators ⋮ Weak-type lower bounds for high-dimensional Hardy-Littlewood maximal operators on certain measures via averaging 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 ⋮ A remark on the centered n-dimensional Hardy-Littlewood maximal function

Cites Work

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• Behavior of maximal functions in \(R^ n\) for large n
• Weak type (1,1) inequalities of maximal convolution operators
• A New Proof of the Hardy-Littlewood Maximal Theorem
• Weighted Estimates for the Hardy-Littlewood Maximal Operator and Dirac Deltas
• A note on the one-dimensional maximal function
• Research Problems in Complex Analysis

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