| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4582493 | Expositiones Mathematicae | 2009 | 17 Pages |
Abstract
We present a unified approach to celebrated loglogloglog-theorems of Carleman, Wolf, Levinson, Sjöberg, Matsaev on majorants of analytic functions. Moreover, we obtain stronger results by replacing original pointwise bounds with integral ones. The main ingredient is a complete description for radial projections of harmonic measures of strictly star-shaped domains in the plane, which, in particular, explains where the loglogloglog-conditions come from.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexander Rashkovskii,