Complex Powers of the Laplacian on Affine Nested Fractals as Calderón-Zygmund operators - Mathematics > Functional AnalysisReport as inadecuate




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Abstract: We give the first natural examples of Calder\-on-Zygmund operators in thetheory of analysis on post-critically finite self-similar fractals. This isachieved by showing that the purely imaginary Riesz and Bessel potentials onnested fractals with 3 or more boundary points are of this type. It followsthat these operators are bounded on $L^{p}$, $1


Author: Marius Ionescu, Luke Rogers

Source: https://arxiv.org/



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