Self-improvement of summability factors of functions satisfying the reverse Hölder inequality in limit cases

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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Bibliographic Details
Date:2010
Main Authors: Korenovskii, A. A., Fomichev, V. V., Кореновский, А. А., Фомичев, В. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2010
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2882
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary: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.