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Two-weight inequalities for the maximal operator in a Lebesgue space with variable exponent

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We study a two-weight problem for the Hardy–Littlewood maximal operator in variable exponent Lebesgue spaces L p(·). The exponential function satisfies some logarithmic type continuity conditions. Bibliography: 25 titles.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, 9, F. Agaev, Baku, AZ1141, Azerbaijan

    F. I. Mamedov

  2. Dicle University, Diyarbakir, 21280, Turkey

    F. I. Mamedov

  3. Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul, 34750, Turkey

    Y. Zeren

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  1. F. I. Mamedov
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  2. Y. Zeren
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Correspondence to F. I. Mamedov.

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Translated from Problems in Mathematical Analysis 55, March 2011, pp. 53–64.

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Mamedov, F.I., Zeren, Y. Two-weight inequalities for the maximal operator in a Lebesgue space with variable exponent. J Math Sci 173, 701–716 (2011). https://doi.org/10.1007/s10958-011-0268-z

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