Fractional integral and fractional maximal operators on generalized Fofana spaces

Pokou Nagacy; Bérenger Akon Kpata; Nouffou Diarra

Fractional integral and fractional maximal operators on generalized Fofana spaces

Functional Analysis 2026-06-29 v1 Classical Analysis and ODEs

Authors: Pokou Nagacy , Bérenger Akon Kpata , Nouffou Diarra

Abstract

Generalized Fofana spaces were recently introduced as generalizations of Fofana spaces and Nakai's generalized Morrey spaces. In this paper, we establish the boundedness properties of the following operators in these spaces: fractional integral operators, fractional maximal operators and generalized fractional integral operators. As a consequence, we obtain generalized Olsen-type inequalities involving the Riesz potential and generalized fractional integral operators.

Keywords

Fofana spaces fractional integral operators fractional maximal operators Riesz potential Olsen-type inequalities Morrey spaces

Cite

@article{arxiv.2606.30955,
  title  = {Fractional integral and fractional maximal operators on generalized Fofana spaces},
  author = {Pokou Nagacy and Bérenger Akon Kpata and Nouffou Diarra},
  journal= {arXiv preprint arXiv:2606.30955},
  year   = {2026}
}

Comments

15 pages