We show that the best summability factors of functions that satisfy the reverse Hölder inequality in limit cases can be obtained from the nonlimit case by passing to the limit.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 4, pp. 483–493, April, 2010.
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Korenovskii, A.A., Fomichev, V.V. Self-improvement of summability factors of functions satisfying the reverse Hölder inequality in limit cases. Ukr Math J 62, 552–563 (2010). https://doi.org/10.1007/s11253-010-0371-1
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DOI: https://doi.org/10.1007/s11253-010-0371-1