Generalized brownian sheet images and Bessel-Riesz capacity*

Let W˜ be a two-parameter, Rd-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.