Uniform measure results for the image of subsets under Brownian motion (Q1819473)

The paper obtains bounds on the Hausdorff and packing measures of the image X(E) of a Borel set E by a transient strictly stable process \(X_ t\) which a.s. hold for all E and for every measure function \(h_{\beta,\gamma}(s)=s^{\beta} | \log s| ^{\gamma}\). In some cases examples are constructed to show that the bounds are sharp.