From Sobolev inequality to doubling
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- by Lyudmila Korobenko, Diego Maldonado and Cristian Rios PDF
- Proc. Amer. Math. Soc. 143 (2015), 4017-4028 Request permission
Abstract:
In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying measure.References
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Additional Information
- Lyudmila Korobenko
- Affiliation: Department of Mathematics, University of Calgary, Calgary, Alberta, Canada AB T2N 1N4
- Email: lkoroben@ucalgary.ca
- Diego Maldonado
- Affiliation: Department of Mathematics, Kansas State University, Manhattan, Kansas 66506
- Email: dmaldona@math.ksu.edu
- Cristian Rios
- Affiliation: Department of Mathematics, University of Calgary, Calgary, Alberta, Canada AB T2N 1N4
- Email: crios@ucalgary.ca
- Received by editor(s): December 1, 2013
- Received by editor(s) in revised form: March 4, 2014, and June 4, 2014
- Published electronically: March 18, 2015
- Additional Notes: The second author was supported by the US National Science Foundation under grant DMS 1361754
The third author was supported by the Natural Sciences and Engineering Research Council of Canada - Communicated by: Jeremy Tyson
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4017-4028
- MSC (2010): Primary 35J70, 35J60, 35B65, 46E35, 31E05, 30L99
- DOI: https://doi.org/10.1090/S0002-9939-2015-12556-7
- MathSciNet review: 3359590