Weighted estimates of higher order commutators generated by BMO-functions and the fractional integral operator on Morrey spaces

Abstract

Abstract The purpose of this paper is to investigate the weighted estimates of commutators generated by BMO-functions and the fractional integral operator on Morrey spaces. The main result generalizes the Sawano, Sugano, and Tanaka result to a weighted setting.

Keywords

• commutator
• fractional integral operator
• Morrey space
• BMO space
• weight