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MR1979718 (2004h:42017) 42B20
Vasyunin, V. I. The exact constant in the inverse Hölder inequality for Muckenhoupt weights. (Russian) Algebra i Analiz 15 (2003), no. 1, 73--117; translation in St. Petersburg Math. J. 15 (2004), no. 1, 49–79
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