Derivatives of regular measures
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E. S. Dubtsov
Translated by: the author - St. Petersburg Math. J. 19 (2008), 225-238
- DOI: https://doi.org/10.1090/S1061-0022-08-00995-3
- Published electronically: February 1, 2008
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Abstract:
Let $\mu$ be a positive singular measure on Euclidean space. If $\mu$ is sufficiently regular, then for any $a\in [0, +\infty ]$ the set where the derivative of $\mu$ is equal to $a$ is large in the sense of the Hausdorff dimension.References
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Bibliographic Information
- E. S. Dubtsov
- Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
- MR Author ID: 361869
- Email: dubtsov@pdmi.ras.ru
- Received by editor(s): August 31, 2006
- Published electronically: February 1, 2008
- Additional Notes: This research was supported by RFBR (grant no. 05-01-00924).
- © Copyright 2008 American Mathematical Society
- Journal: St. Petersburg Math. J. 19 (2008), 225-238
- MSC (2000): Primary 28A15, 28A75, 28A78, 42B35
- DOI: https://doi.org/10.1090/S1061-0022-08-00995-3
- MathSciNet review: 2333898