Sharp inequalities for maximal functions associated with general measures

DOI10.1017/S0308210500021739zbMath0918.42010OpenAlexW2060369791MaRDI QIDQ4212394

Loukas Grafakos, Juha Kinnunen

Publication date: 3 August 1999

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/s0308210500021739

zbMATH Keywords

\(L^p\)-spacesHardy-Littlewood maximal operatorscentereduncentred

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (12)

Sharp constant of Hardy operators corresponding to general positive measures ⋮ BEST CONSTANTS IN THE WEAK-TYPE ESTIMATES FOR UNCENTERED MAXIMAL OPERATORS ⋮ Rearrangement inequality for the Hardy-Littlewood maximal operator ⋮ Higher summability theorems from the weighted reverse discrete inequalities ⋮ Rearrangement inequalities of the one-dimensional maximal functions associated with general measures ⋮ Doob's estimate for coherent random variables and maximal operators on trees ⋮ Sharp inequalities for geometric maximal operators associated with general measures ⋮ The limiting weak-type behaviors of the strong maximal operators ⋮ Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function ⋮ BMO-boundedness of the maximal operator for arbitrary measures ⋮ Sobolev \(W_p^1\)-spaces on closed subsets of \(\mathbf R^n\) ⋮ Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting

Cites Work

• Unnamed Item
• A Remark on the Maximal Function for Measures in R n
• A note on the one-dimensional maximal function
• Strong Differentiation with Respect to Measures
• Weighted Inequalities for Maximal Functions Associated with General Measures
• On the Best Constant for the Besicovitch Covering Theorem
• Best Constants for Uncentred Maximal Functions

This page was built for publication: Sharp inequalities for maximal functions associated with general measures