Pointwise estimate for the Hardy-Littlewood maximal operator on the orbits of contractive mappings

DOI10.1016/J.JMAA.2012.05.087zbMath1247.42017OpenAlexW1989649294MaRDI QIDQ448262

Hugo Aimar, Marilina Carena

Publication date: 30 August 2012

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.2012.05.087

zbMATH Keywords

Hardy-Littlewood maximal operatorMuckenhoupt weightsiterated function systemsHutchinson orbits

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (1)

Uniform approximation of Muckenhoupt weights on fractals by simple functions

Cites Work

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• Boundedness of the Hardy-Littlewood maximal operator along the orbits of contractive similitudes
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Weighted norm inequalities for maximal functions and singular integrals
• Gradual doubling property of Hutchinson orbits
• Weighted Norm Inequalities for the Hardy Maximal Function

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