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A second alternative approach for the study of the Muckenhoupt class \(A_1({\mathbb {R}})\)

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We find the exact best possible range of those \(p >1\) for which any \(\varphi \in A_1({\mathbb {R}})\), with \(A_1\) constant equal to c, must also belong to \(L^p\). In this way, we provide an alternative proof of the corresponding result in Bojarski and Sbordone (Studia Math 101(2):155–163, 1992) and Nikolidakis (Ann Acad Scient Fenn Math 40:949–955, 2015).

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  1. Department of Mathematics, University of Ioannina, Panepistimioupolis, 45110, Ioannina, Greece

    Eleftherios N. Nikolidakis

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  1. Eleftherios N. Nikolidakis
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Correspondence to Eleftherios N. Nikolidakis.

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Nikolidakis, E.N. A second alternative approach for the study of the Muckenhoupt class \(A_1({\mathbb {R}})\). Arch. Math. 115, 309–315 (2020). https://doi.org/10.1007/s00013-020-01470-3

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