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On the A [infinite] conditions for general bases

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2015

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Duoandikoetxea J, Martín-Reyes FJ, Ombrosi S (2016) On the $$A_{\infty }$$ A ∞ conditions for general bases. Math Z 282(3–4):955–972. https://doi.org/10.1007/s00209-015-1572-y

Abstract

We discuss several characterizations of the A [infinite] class of weights in the setting of general bases. Although they are equivalent for the usual Muckenhoupt weights, we show that they can give rise to different classes of weights for other bases. We also obtain new characterizations for the usual A [infinite] weights.

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