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 Lip? com associated with mixed homogeneities and characterize these spaces via the Littlewood-Paley theory. As applications, the boundedness of the composition of Calder?n-Zygmund singular integral operators with mixed homogeneities has been considered.
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