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- W2963097948 abstract "In a metric space (X;d) we reconstruct an approximation of a Borel measure starting from a premeasure q dened on the collection of closed balls, and such that q approximates the values of on these balls. More precisely, under a geometric assumption on the distance ensuring a Besicovitch covering property, and provided that there exists a Borel measure on X satisfying an asymptotic doubling-type condition, we show that a suitable packing construction produces a measure ^ q which is equivalent to . Moreover we show the stability of this process with respect to the accuracy of the initial approximation. We also investigate the case of signed measures." @default.
- W2963097948 created "2019-07-30" @default.
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- W2963097948 date "2016-01-01" @default.
- W2963097948 modified "2023-09-27" @default.
- W2963097948 title "Recovering measures from approximate values on balls" @default.
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- W2963097948 doi "https://doi.org/10.5186/aasfm.2016.4160" @default.
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