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New characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type

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Abstract

In this paper we use the T 1 theorem to prove a new characterization with minimum regularity and cancellation conditions for inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type. These results are new even for ℝn.

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Authors and Affiliations

  1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China

    Yan Chang Han

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  1. Yan Chang Han
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Correspondence to Yan Chang Han.

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Supported by National Natural Science Foundation of China (Grant Nos. 10726071, 10571182)

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Han, Y.C. New characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type. Acta. Math. Sin.-English Ser. 25, 1787–1804 (2009). https://doi.org/10.1007/s10114-009-8348-4

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  • DOI: https://doi.org/10.1007/s10114-009-8348-4

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