Semigroups of holomorphic functions and condenser capacity

Dimitrios Betsakos, Georgios Kelgiannis, Maria Kourou, Stamatis Pouliasis

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Suppose (ϕt)t≥0 is a semigroup of holomorphic functions in the unit disk D with Denjoy–Wolff point τ= 1. Suppose K is a compact subset of D. We prove that the capacity of the condenser (D, ϕt(K)) is a decreasing function of t. Moreover, we study its asymptotic behavior as t→ + ∞ in relation with the type of the semigroup.

Original languageEnglish
Article number8
JournalAnalysis and Mathematical Physics
Issue number1
StatePublished - Mar 1 2020


  • Condenser capacity
  • Green capacity
  • Hyperbolic semigroup
  • Koenigs function
  • Parabolic semigroup
  • Semigroup of holomorphic functions


Dive into the research topics of 'Semigroups of holomorphic functions and condenser capacity'. Together they form a unique fingerprint.

Cite this