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A proof of the Fefferman-Stein-Strömberg inequality for the sharp maximal functions

Author: Nobuhiko Fujii
Journal: Proc. Amer. Math. Soc. 106 (1989), 371-377
MSC: Primary 42B25
MathSciNet review: 946637
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Abstract: We give another proof of a theorem of Strömberg for the Fefferman-Stein sharp maximal functions. Our method is based on a decomposition lemma which is due to the arguments of Carleson, Garnett and Jones for the functions of BMO, and it is valid for a two-weight setting under a condition which is equivalent to the $ {A_\infty }$ condition in the case of equal weights.

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Keywords: Sharp maximal functions, $ {A_\infty }$ condition
Article copyright: © Copyright 1989 American Mathematical Society

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