Abstract
In this article, the authors first give a Littlewood–Paley characterization for inhomogeneous Lipschitz spaces of variable order with the help of inhomogeneous Calderón identity and almost-orthogonality estimates. As applications, the boundedness of inhomogeneous Calderón–Zygmund singular integral operators of order on these spaces has been presented. Finally, we note that a class of pseudodifferential operators are continuous on the inhomogeneous Lipschitz spaces of variable order as a corollary. We may observe that those operators are not, in general, continuous in .
Citation
Jian Tan. Jiman Zhao. "Inhomogeneous Lipschitz spaces of variable order and their applications." Ann. Funct. Anal. 9 (1) 72 - 86, February 2018. https://doi.org/10.1215/20088752-2017-0025
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