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Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss

Yanchang Han, Fanghui Liao and Zongguang Liu

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

By applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces of homogeneous type in the sense of Coifman and Weiss, pointwise multipliers of inhomogeneous Besov and Triebel-Lizorkin spaces are obtained. We make no additional assumptions on the quasi-metric or the doubling measure. Hence, the results of this paper extend earlier related results to a more general setting.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:164624

DOI: 10.1155/2014/164624

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