Integral Representations for Some Classes of Functions Holomorphic in a Siegel Domain

On a class of holomorphic functions repr

On a class of holomorphic functions representable by Carleman formulas in the disk from their values on the arc of the circle

✍ Lev Aizenberg; Alekos Vidras 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 218 KB 👁 1 views

## Abstract Let __D__ be a unit disk and__M__ be an open arc of the unit circle whose Lebesgue measure satisfies 0 < __l__ (__M__) < 2__π__. Our first result characterizes the restriction of the holomorphic functions __f__ ∈ ℋ︁(__D__), which are in the Hardy class ℋ︁^1^ near the arc__M__ and are de