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Sobolev spaces, dimension, and random series

Author(s): Robert Kaufman
Journal: Proc. Amer. Math. Soc. 128 (2000), 427-431.
MSC (2000): Primary 28A12, 26B35; Secondary 60G50, 60G57, 26B15
Posted: September 27, 1999
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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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5.: Tricot, C., Two definitions of fractional dimension, Math. Proc. Camb. Phil. Soc. 91 (1982), 57-74. MR 84d:28013


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