Mixed means over balls and annuli and lower bounds for operator norms of maximal functions

DOI10.1016/j.jmaa.2003.11.018zbMath1040.42018OpenAlexW2063030543MaRDI QIDQ1433366

Ivan Perić, Aleksandra Čižmešija

Publication date: 15 June 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.018

zbMATH Keywords

power weightsHardy inequalityintegral meansspherical maximal functionmixed meansHardy--Littlewood maximal functionballs and annuli

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Averages in the plane over convex curves and maximal operators
• Inequalities related to Hardy's and Heinig's
• Maximal functions: Spherical means
• Problems in harmonic analysis related to curvature
• Mixed means and inequalities of Hardy and Levin-Cochran-Lee type for multidimensional balls
• Best Constants for Two Nonconvolution Inequalities
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