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arXiv · 1802.01577

Bounds for $L_p$-discrepancies of point distributions in compact metric spaces

M. M. Skriganov
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Abstract

Upper bounds for the $L_p$-discrepancies of point distributions in compact metric measure spaces for $0<p\le\infty$ have been established in the paper [6] by Brandolini, Chen, Colzani, Gigante and Travaglini. In the present paper we show that such bounds can be established in a much more general situation under very simple conditions on the volume of metric balls as a function of radii.

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M. M. Skriganov. 2018-02-05. Bounds for $L_p$-discrepancies of point distributions in compact metric spaces. https://arxiv.org/abs/1802.01577

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