Boundedness in Lebesgue spaces of Riesz potentials on commutative hypergroups

  • Authors

    • Mubariz Hajibayov National Aviation Academy
    2015-01-16
    https://doi.org/10.14419/gjma.v3i1.3996
  • Hardy-Littlevood Maximal Function, Hypergroup, Riesz Potential.

  • Abstract

    In the present paper we consider Riesz potentials on commutative hypergroups and prove  the boundedness of these potentials from \(L^{p} \left( K,\lambda \right) \)  to \(L^{q} \left( K,\lambda \right) \). We also prove the  inequality from \(L^{1} \left( K,\lambda \right) \) to weak \(L^{q} \left( K,\lambda \right) \) for Riesz potentials on commutative hypergroups.

  • References

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  • How to Cite

    Hajibayov, M. (2015). Boundedness in Lebesgue spaces of Riesz potentials on commutative hypergroups. Global Journal of Mathematical Analysis, 3(1), 18-25. https://doi.org/10.14419/gjma.v3i1.3996

    Received date: 2014-12-07

    Accepted date: 2015-01-05

    Published date: 2015-01-16