Classical and new loglog-theorems
Complex Variables
2010-03-22 v3
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.
Keywords
Cite
@article{arxiv.0710.3538,
title = {Classical and new loglog-theorems},
author = {Alexander Rashkovskii},
journal= {arXiv preprint arXiv:0710.3538},
year = {2010}
}
Comments
Proof of Theorem 5 is considerably simplified. Typos in the proof of Theorem 4 fixed.