Condenser capacity, exponential blaschke products and universal covering maps

Javad Mashreghi, Stamatis Pouliasis

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Let B be an exponential Blaschke product, let C be a compact subset of the unit disc 𝔻 with positive logarithmic capacity and let Kn = B−1(C) ∩ {z ∈ 𝔻: |z| ≤ 1 − 2−n}. We give a sharp estimate for the rate of growth of the capacity of the condensers (𝔻,Kn). Also, we examine a similar problem for universal covering maps of multiply connected Greenian domains and we give a precise formula in the case of doubly connected domains.

Original languageEnglish
Pages (from-to)3547-3559
Number of pages13
JournalProceedings of the American Mathematical Society
Volume143
Issue number8
DOIs
StatePublished - 2015

Keywords

  • Condenser capacity
  • Exponential Blaschke products
  • Lindelöf Principle
  • Universal covering maps

Fingerprint

Dive into the research topics of 'Condenser capacity, exponential blaschke products and universal covering maps'. Together they form a unique fingerprint.

Cite this