A stability result on Muckenhoupt's weights
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J. Kinnunen
We prove that Muckenhoupt's $\Cal A_1$-weights satisfy a reverse Hölder inequality with an explicit and asymptotically sharp estimate for the exponent. As a by-product we get a new characterization of $\Cal A_1$-weights.
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Kinnunen, J. “A stability result on Muckenhoupt’s weights”. Publicacions Matemàtiques, vol.VOL 42, no. 1, pp. 153-6, https://raco.cat/index.php/PublicacionsMatematiques/article/view/37929.
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