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The Weighted Weak Type Inequality for the Strong Maximal Function

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Abstract

We prove the natural Fefferman-Stein weak type inequality for the strong maximal function in the plane, under the assumption that the weight satisfies a strong Muckenhoupt condition. This complements the corresponding strong type result due to Jawerth. It also extends the weighted weak type inequality for strong A1 weights due to Bagby and Kurtz.

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  1. Department of Mathematics, University of Crete, Knossos Ave., 71409, Iraklio, Greece

    Themis Mitsis

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  1. Themis Mitsis
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Correspondence to Themis Mitsis.

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Mitsis, T. The Weighted Weak Type Inequality for the Strong Maximal Function. J Fourier Anal Appl 12, 645–652 (2006). https://doi.org/10.1007/s00041-005-5060-3

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  • DOI: https://doi.org/10.1007/s00041-005-5060-3

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