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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An elementary approach to several results on the Hardy-Littlewood maximal operator


Author: Andrei K. Lerner
Journal: Proc. Amer. Math. Soc. 136 (2008), 2829-2833
MSC (2000): Primary 42B25
Published electronically: April 2, 2008
MathSciNet review: 2399047
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Abstract: We give new elementary proofs of theorems due to B. Muckenhoupt, B. Jawerth, and S. Buckley. By means of our approach we answer a question raised by J. Orobitg and C. Pérez.


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Additional Information

Andrei K. Lerner
Affiliation: Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel
Address at time of publication: Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, 41080 Sevilla, Spain
Email: aklerner@netvision.net.il

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09318-0
PII: S 0002-9939(08)09318-0
Keywords: Maximal operators, weights.
Received by editor(s): January 29, 2007
Published electronically: April 2, 2008
Additional Notes: This work was supported by research grant SB2004-0169 from the Ministerio de Educación y Ciencia (Spain).
Communicated by: Michael T. Lacey
Article copyright: © Copyright 2008 American Mathematical Society