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BOUNDEDNESS FOR MULTILINEAR INTEGRAL OPERATORS ON TRIEBEL-LIZORKIN AND LEBESGUE SPACES
Author(s) : Jiasheng Zeng
Pages : [17] - [36]
Received : April 15, 2017
Communicated by : Professor Lanzhe Liu
Pages : [17] - [36]
Received : April 15, 2017
Communicated by : Professor Lanzhe Liu
Abstract
The boundedness for the multilinear operators associated to some integral operators on Triebel-Lizorkin and Lebesgue spaces are obtained. The operators include Littlewood-Paley operators, Marcinkiewicz operators, and Bochner-Riesz operator.
Keywords
multilinear operators, Littlewood-Paley operator, Marcinkiewicz operator, Bochner-Riesz operator, Triebel-Lizorkin space, Lipschitz space.