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arXiv · 1901.02762

On a Blaschke-type condition for subharmonic functions with two sets of singularities on the boundary

S. Favorov·L. Golinskii
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Abstract

Given two compact sets, $E$ and $F$, on the unit circle, we study the class of subharmonic functions on the unit disk which can grow at the direction of $E$ and $F$ (sets of singularities) at different rate. The main result concerns the Blaschke-type condition for the Riesz measure of such functions. The optimal character of such condition is demonstrated.

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S. Favorov, L. Golinskii. 2019-01-09. On a Blaschke-type condition for subharmonic functions with two sets of singularities on the boundary. https://arxiv.org/abs/1901.02762

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