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Inhomogeneous multi-parameter Lipschitz spaces associated with different homogeneities and their applications

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This paper is motivated by Phong and Stein’s work in [11]. The purpose of this paper is to establish the inhomogeneous multi-parameter Lipschitz spaces Lipαcom associated with mixed homogeneities and… Click to show full abstract

This paper is motivated by Phong and Stein’s work in [11]. The purpose of this paper is to establish the inhomogeneous multi-parameter Lipschitz spaces Lipαcom associated with mixed homogeneities and characterize these spaces via the Littlewood-Paley theory. As applications, the boundedness of the composition of Calderón-Zygmund singular integral operators with mixed homogeneities has been considered.

Keywords: inhomogeneous multi; multi parameter; lipschitz spaces; parameter lipschitz

Journal Title: Filomat
Year Published: 2018

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