Brownian Sheet Images and Bessel-Riesz Capacity
Probability
2007-05-23 v1 Functional Analysis
Abstract
We show that the image of a 2-dimensional set under d-dimensional, 2-parameter Brownian sheet can have positive Lebesgue measure, if and only if the set in question has positive (d/2)-dimensional Bessel-Riesz capacity. Our methods solve a problem of J.-P. Kahane.
Cite
@article{arxiv.math/9804061,
title = {Brownian Sheet Images and Bessel-Riesz Capacity},
author = {Davar Khoshnevisan},
journal= {arXiv preprint arXiv:math/9804061},
year = {2007}
}
Comments
19 pages