Estimates for a Rough Fractional Integral Operator and Its Commutators on p-Adic Central Morrey Spaces

Abstract

In the current paper, we obtain the boundedness of a rough p-adic fractional integral operator on p-adic central Morrey spaces. Moreover, we establish the λ-central bounded mean oscillations estimate for commutators of a rough p-adic fractional integral operator on p-adic central Morrey spaces.

Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces

“…Its application in biology includes the models for hierarchical structures of genetic code [5] and protein [6]. Furthermore, p-adic numbers have found a novel application in harmonic analysis and mathematical physics (see, for example, [2,[7][8][9][10][11] and related references).…”