Bounding the Local Dimension of the Convolution of Measures

Published 25 Feb 2025 in math.DS and math.FA | (2502.18337v1)

Abstract: We study the local dimension of the convolution of two measures. We give conditions for bounding the local dimension of the convolution on the basis of the local dimension of one of them. Moreover, we give a formula for the local dimension of some special points in the support of the convolution.

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