Sobolev spaces, dimension, and random series
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- by Robert Kaufman PDF
- Proc. Amer. Math. Soc. 128 (2000), 427-431 Request permission
Abstract:
We investigate dimension-increasing properties of maps in Sobolev spaces; we obtain sharp results with a random process somewhat like Brownian motion.References
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Additional Information
- Robert Kaufman
- Affiliation: Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801
- Email: rpkaufma@math.uiuc.edu
- Received by editor(s): January 30, 1998
- Published electronically: September 27, 1999
- Communicated by: Frederick W. Gehring
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 427-431
- MSC (2000): Primary 28A12, \, 26B35; Secondary 60G50, \, 60G57, \, 26B15
- DOI: https://doi.org/10.1090/S0002-9939-99-05383-6
- MathSciNet review: 1670383