Abstract
We find a new characterizations of an \(A_{\infty }\) weight \(\omega \), in terms of the decreasing rearrangement of the restriction of \(\omega \) to cubes Q.
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Acknowledgements
We would like to thank the referees for their valuable comments which have really improved the final version of this manuscript. In particular, the Proof of Lemma 2.1 has been simplified, even obtaining a better estimate on the exponents involved.
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Maria J. Carro and Javier Soria were partially supported by Grants MTM2016-75196-P (MINECO/FEDER, UE) and 2017SGR358.
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Asekritova, I., Carro, M.J., Kruglyak, N. et al. Rearrangement estimates for \(A_\infty \) weights. Rev Mat Complut 32, 731–743 (2019). https://doi.org/10.1007/s13163-019-00293-3
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DOI: https://doi.org/10.1007/s13163-019-00293-3