Sets with the Bernstein and generalized Markov properties
Volume 111 / 2014
Annales Polonici Mathematici 111 (2014), 259-270
MSC: Primary 41A17, 14P05; Secondary 41A25, 14P10.
DOI: 10.4064/ap111-3-4
Abstract
It is known that for $C^{\infty }$ determining sets Markov's property is equivalent to Bernstein's property. We are interested in finding a generalization of this fact for sets which are not $C^{\infty }$ determining. In this paper we give examples of sets which are not $C^{\infty }$ determining, but have the Bernstein and generalized Markov properties.
