© Springer International Publishing Switzerland 2014. In this chapter we will introduce the notion of analytic capacity and we will study some of its basic properties, its connection with the Painlevé problem, and its relationship with Hausdorff measures. We will also review some results on the Cauchy transform and Vitushkin’s localization operator that are useful for the study of analytic capacity.
|Title of host publication||Progress in Mathematics|
|Number of pages||28|
|Publication status||Published - 1 Jan 2014|