An isometric expansion is derived which recaptures any H2 function from a restriction of its boundary function to a Borel set. Journal Information This monthly journal, begun in 1950, is devoted ...

For 0 < 𝛼 < 1 let 𝑉(𝛼) denote the supremum of the numbers 𝜐 such that every 𝛼-Hölder continuous function is of bounded variation on a set of Hausdorff dimension 𝜐. Kahane and Katznelson (2009) ...