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Abstract. Suppose that (X, d, µ) is a metric measure space of homogeneous type in the sense of Coifman and Weiss with a reverse doubling condition. By establishing the Littlewood-Paley… Click to show full abstract
Abstract. Suppose that (X, d, µ) is a metric measure space of homogeneous type in the sense of Coifman and Weiss with a reverse doubling condition. By establishing the Littlewood-Paley characterization of Lipschitz spaces, a density argument in the weak sense and almost orthogonality estimate we prove that a Caldeŕon-Zygmund operator T is bounded on Lipschitz space if and only if T 1 = 0.
Keywords:
zygmund;
calder zygmund;
zygmund operators;
lipschitz spaces;
spaces spaces;
operators lipschitz
Journal Title: Quaestiones Mathematicae
Year Published: 2020
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Journal Title: Quaestiones Mathematicae
Year Published: 2020
Link to full text (if available)
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recommendations!