Boundedness in Lebesgue spaces of Riesz potentials on commutative hypergroups
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.About this article
Keywords
- Hardy-Littlevood Maximal Function
- Hypergroup
- Riesz Potential.
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