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arXiv · 1307.6196

Inequalities for sums of Green potentials and Blaschke products

Igor E. Pritsker
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Abstract

We study inequalities for the infima of Green potentials on a compact subset of an arbitrary domain in the complex plane. The results are based on a new representation of the pseudohyperbolic farthest-point distance function via a Green potential. We also give applications to sharp inequalities for the supremum norms of Blaschke products.

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Igor E. Pritsker. 2013-07-23. Inequalities for sums of Green potentials and Blaschke products. https://doi.org/10.1112/blms%2Fbdq122

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