Weak type (1,1) inequalities of maximal convolution operators

DOI10.1007/BF02848939zbMath0770.42013OpenAlexW2068430690MaRDI QIDQ2367304

Fernando Soria, M. Trinidad Menárguez

Publication date: 8 August 1993

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02848939

zbMATH Keywords

ergodic theorembest constantHardy-Littlewood centered maximal operatorweak type (1,1) inequalities for maximal convolution operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items

On the centered Hardy-Littlewood maximal operator, Best constants for the Hardy-Littlewood maximal operator on finite graphs, Weighted boundedness of multilinear maximal function using Dirac deltas, Singular measures and convolution operators, Localization and dimension free estimates for maximal functions, 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, On the dimensional weak-type (1,1) bound for Riesz transforms, Remarks on the Hardy–Littlewood maximal function, Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator, Outer measures and weak type \((1,1)\) estimates of Hardy-Littlewood maximal operators, A remark on the centered n-dimensional Hardy-Littlewood maximal function, Weak type inequalities of maximal Hankel convolution operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A New Proof of the Hardy-Littlewood Maximal Theorem
• Weak Convergence of Measures and Weak Type (1, q) of Maximal Convolution Operators