Abstract

Let W ˜ be a two-parameter, R d -valued generalized Brownian sheet. The author obtains an explicit Bessel-Riesz capacity estimate for the images of a two-dimensional set under W ˜ . He also presents the connections between the Lebesgue measure of the image of W ˜ and Bessel-Riesz capacity. His conclusions also solve a problem proposed by J.-P. Kahane.

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