Brownian sheet images and Bessel-Riesz capacity-Reference-Cited by-同舟云学术

Brownian sheet images and Bessel-Riesz capacity

Published:1999-02-09 Issue:7 Volume:351 Page:2607-2622
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Khoshnevisan Davar

Abstract

We show that the image of a 2–dimensional set under d d –dimensional, 2–parameter Brownian sheet can have positive Lebesgue measure if and only if the set in question has positive ( d / 2 d/2 )–dimensional Bessel–Riesz capacity. Our methods solve a problem of J.-P. Kahane.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1999-351-07/S0002-9947-99-02408-3/S0002-9947-99-02408-3.pdf

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