A general principle for Hausdorff measure
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- by Mumtaz Hussain and David Simmons PDF
- Proc. Amer. Math. Soc. 147 (2019), 3897-3904 Request permission
Abstract:
We introduce a general principle for studying the Hausdorff measure of limsup sets. A consequence of this principle is the well-known Mass Transference Principle of Beresnevich and Velani (2006).References
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Additional Information
- Mumtaz Hussain
- Affiliation: Department of Mathematics and Statistics, La Trobe University, P.O. Box 199, Bendigo, Victoria 3552, Australia
- MR Author ID: 858704
- Email: m.hussain@latrobe.edu.au
- David Simmons
- Affiliation: Department of Mathematics, University of York, Heslington, York YO10 5DD, United Kingdom
- MR Author ID: 1005497
- Email: david.simmons@york.ac.uk, david9550@gmail.com
- Received by editor(s): August 5, 2018
- Received by editor(s) in revised form: January 1, 2019
- Published electronically: June 10, 2019
- Additional Notes: The first author was supported by La Trobe University’s start-up grant.
The second author was supported by the EPSRC Programme Grant EP/J018260/1. - Communicated by: Nimish Shah
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 3897-3904
- MSC (2010): Primary 28A78; Secondary 11K60, 11J13, 11J83
- DOI: https://doi.org/10.1090/proc/14539
- MathSciNet review: 3993782