Fractional Gaussian fields on the Sierpiński Gasket and related fractals

被引：0
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作者：
Fabrice Baudoin
Céline Lacaux
机构：
[1] University of Connecticut,Department of Mathematics
[2] Avignon Université,LMA EA 2151
来源：
Journal d'Analyse Mathématique | 2022年 / 146卷
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摘要：
We study the regularity of the Gaussian random measures (− Δ)−sW on the Sierpiński gasket where W is a white noise and Δ the Laplacian with respect to the Hausdorff measure. Along the way we prove sharp global Hölder regularity estimates for the fractional Riesz kernels on the gasket which are new and of independent interest.
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页码：719 / 739
页数：20
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