Classical and new loglog-theorems
arXiv:0710.3538
Abstract
We present integral variants of results due to Carleman, Wolf, Levinson, Sjoberg, and Matsaev on majorants of analytic functions. Main ingredient is a complete description for radial projections of harmonic measures of strictly star-shaped domains in the plane.
arXiv commentProof of Theorem 5 is considerably simplified. Typos in the proof of Theorem 4 fixed.