Weighted boundedness of multilinear integral operators for the endpoint cases

Abstract

We prove the weighted boundedness for the multilinear operators associated to some integral operators for the endpoint cases. The operators include Littlewood-Paley operators, Marcinkiewicz operators and Bochner-Riesz operator.

Keywords

• multilinear operator
• littlewood-paley operator
• marcinkiewicz operator
• bochner-riesz operator
• bmo space
• hardy space
• herz space