Open Mathematics (Oct 2015)

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

  • Chen Dazhao

DOI
https://doi.org/10.1515/math-2015-0065
Journal volume & issue
Vol. 13, no. 1

Abstract

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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