Inequalities for sums of Green potentials and Blaschke products

  title={Inequalities for sums of Green potentials and Blaschke products},
  author={Igor E. Pritsker},
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. 1. Green potentials Let G ⊂ C be a domain possessing the Green function gG(z, ζ) with pole at ζ ∈ G. For the positive Borel measures νk, k = 1, . . . ,m, with… CONTINUE READING

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