Abstract
By using the discrete Calderón reproducing formulae, the author first establishes the boundedness of the Riesz-potential-type operator in homogeneous Besov and Triebel–Lizorkin spaces over spaces of homogeneous type. Then, by use of the T1 theorems for these spaces, the author proves that this operator of Riesz potential type can be used as the lifting operator of these spaces.
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Yang, D. Riesz Potentials in Besov and Triebel–Lizorkin Spaces over Spaces of Homogeneous Type. Potential Analysis 19, 193–210 (2003). https://doi.org/10.1023/A:1023217617339
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DOI: https://doi.org/10.1023/A:1023217617339