@article{KourouZarvalis2022,
  author    = {Kourou, Maria and Zarvalis, Konstantinos},
  title     = {Compact sets in petals and their backward orbits under semigroups of holomorphic functions},
  series = {Potential Analysis},
  volume    = {59},
  journal   = {Potential Analysis},
  number    = {4},
  issn      = {0926-2601},
  doi       = {10.1007/s11118-022-10036-7},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-324368},
  pages     = {1913-1939},
  year      = {2022},
  abstract  = {Let (ϕ\(_t\))\(_{t≥0}\) be a semigroup of holomorphic functions in the unit disk \(\mathbb {D}\) and K a compact subset of \(\mathbb {D}\). We investigate the conditions under which the backward orbit of K under the semigroup exists. Subsequently, the geometric characteristics, as well as, potential theoretic quantities for the backward orbit of K are examined. More specifically, results are obtained concerning the asymptotic behavior of its hyperbolic area and diameter, the harmonic measure and the capacity of the condenser that K forms with the unit disk.},
  language  = {en}
}