Paper Title:

Necessary and Sufficient Conditions for the Boundedness of Fractional Integral Operators on Hypergroups

Author(s):

Ari Wardayani, Mutia Nur Estri, Wihantoro, Idha Sihwaningrum

Faculty of Mathematics and Natural Sciences,
Jenderal Soedirman University,
Indonesia.
E-mail: ari.wardayani@unsoed.ac.id
mutia.estri@unsoed.ac.id
wihantoro@unsoed.ac.id
idha.sihwaningrum@unsoed.ac.id

Abstract:

We prove in this paper the necessary and sufficient conditions for the boundedness of the fractional integral operators on Lebesgue spaces over commutative hypergroups. The necessity proofs take into account the Haar measure, meanwhile the sufficiency proofs employ the maximal operators.

Full Text PDF: