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On Hardy Inequality in Variable Lebesgue Spaces with Mixed Norm

Author

Listed:
  • Rovshan A. Bandaliyev

    (Institute of Mathematics and Mechanics of NAS of Azerbaijan)

  • Ayhan Serbetci

    (Ankara University)

  • Sabir G. Hasanov

    (Ganja State University)

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.

Suggested Citation

  • Rovshan A. Bandaliyev & Ayhan Serbetci & Sabir G. Hasanov, 2018. "On Hardy Inequality in Variable Lebesgue Spaces with Mixed Norm," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(4), pages 765-782, December.
    • Handle: RePEc:spr:indpam:v:49:y:2018:i:4:d:10.1007_s13226-018-0300-9
    DOI: 10.1007/s13226-018-0300-9
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    Cited by:

    1. Ting Chen & Wenchang Sun, 2023. "Restricted estimates of the fractional integral on the diagonal," Mathematische Nachrichten, Wiley Blackwell, vol. 296(3), pages 1013-1024, March.

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