Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space

Abstract

In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved. The general integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

Keywords

• toeplitz type operator
• singular integral operator
• orlicz space
• bmo space
• lipschitz function