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On Hardy Inequality in Variable Lebesgue Spaces with Mixed Norm

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Abstract

In this paper a two-weight boundedness of multidimensional Hardy operator and its dual operator acting from one weighted variable Lebesgue spaces with mixed norm into other weighted variable Lebesgue spaces with mixed norm spaces is proved. In particular, a new type two-weight criterion for multidimensional Hardy operator is obtained.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan

    Rovshan A. Bandaliyev

  2. Department of Mathematics, Ankara University, Ankara, Turkey

    Ayhan Serbetci

  3. Ganja State University, Ganja, Azerbaijan

    Sabir G. Hasanov

Authors
  1. Rovshan A. Bandaliyev
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  2. Ayhan Serbetci
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  3. Sabir G. Hasanov
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Correspondence to Rovshan A. Bandaliyev.

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Bandaliyev, R.A., Serbetci, A. & Hasanov, S.G. On Hardy Inequality in Variable Lebesgue Spaces with Mixed Norm. Indian J Pure Appl Math 49, 765–782 (2018). https://doi.org/10.1007/s13226-018-0300-9

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  • DOI: https://doi.org/10.1007/s13226-018-0300-9

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