Classical and new loglog-theorems

Details Classical and new loglog-theorems Classical and new loglog-theorems

2007-10-18

arxiv.org/abs/0710.3538v3

Expo. Math. 27 (2009), 271-287

Mathematics

Complex Variables

Proof of Theorem 5 is considerably simplified. Typos in the proof of Theorem 4 fixed.

Scientific paper

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.

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