Complex Powers of the Laplacian on Affine Nested Fractals as Calderón-Zygmund operators
نویسندگان
چکیده
منابع مشابه
Complex Powers of the Laplacian on Affine Nested Fractals as Calderón-zygmund Operators
We give the first natural examples of Calderón-Zygmund operators in the theory of analysis on post-critically finite self-similar fractals. This is achieved by showing that the purely imaginary Riesz and Bessel potentials on nested fractals with 3 or more boundary points are of this type. It follows that these operators are bounded on Lp, 1 < p < ∞ and satisfy weak 1-1 bounds. The analysis may ...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2014
ISSN: 1534-0392
DOI: 10.3934/cpaa.2014.13.2155