Fractional Gaussian fields on the Sierpiński Gasket and related fractals

TY - JOUR

T1 - Fractional Gaussian fields on the Sierpiński Gasket and related fractals

AU - Baudoin, Fabrice

AU - Lacaux, Céline

N1 - Publisher Copyright: © 2022, The Hebrew University of Jerusalem.

PY - 2022/8

Y1 - 2022/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85134209436&partnerID=8YFLogxK

U2 - 10.1007/s11854-022-0211-x

DO - 10.1007/s11854-022-0211-x

M3 - Journal article

AN - SCOPUS:85134209436

SN - 0021-7670

VL - 146

SP - 719

EP - 739

JO - Journal d'Analyse Mathematique

JF - Journal d'Analyse Mathematique

IS - 2

ER -