On Smoothness of the Green Function for the Complement of a Rarefied Cantor-Type Set

Altun, M.Goncharov, A.2015-07-282015-07-2820110176-4276http://hdl.handle.net/11693/11760Smoothness of the Green functions for the complement of rarefied Cantor-type sets is described in terms of the function Φ(δ)=(1/log 1/δ) that gives the logarithmic measure of sets. Markov's constants of the corresponding sets are evaluated. © 2010 Springer Science+Business Media, LLC.EnglishCantor-type setsGreen's functionMarkov's inequalityOn Smoothness of the Green Function for the Complement of a Rarefied Cantor-Type SetArticle10.1007/s00365-010-9092-91432-0940