Article ID Journal Published Year Pages File Type
5024710 Nonlinear Analysis: Theory, Methods & Applications 2017 24 Pages PDF
Abstract
In this paper, the authors prove that the inequalities of Poincaré-type are preserved under the action of the Littlewood-Paley operators. Applications to boundedness of the Littlewood-Paley operators on Lipschitz spaces and Hajłasz-Sobolev spaces are considered.
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Physical Sciences and Engineering Engineering Engineering (General)
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Poincaré inequalities for Littlewood-Paley operators
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