摘要
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.
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.
基金
Supported by the key research base for humanities and social sciences of Zhejiang Provincial high education talents (Statistics of Zhejiang Gongshang University)
