Hausdorff Measure and Carleson Thin Sets
Hausdorff Measure and Carleson Thin Sets
A Carleson set is a closed subset of the unit circle T having measure zero, whose complement is a disjoint union of open subarcs $({I_n})$ with $\Sigma |{I_n}|\log |{I_n}| > - \infty$. Suppose H is the Hausdorff measure on T induced by the determining function h, where $h(t)/t$ is strictly …