Smoothness of the Green function for a special domain
Volume 106 / 2012
Annales Polonici Mathematici 106 (2012), 113-126
MSC: Primary 31A15; Secondary 41A10, 41A17.
DOI: 10.4064/ap106-0-9
Abstract
We consider a compact set $K\subset\mathbb R$ in the form of the union of a sequence of segments. By means of nearly Chebyshev polynomials for $K,$ the modulus of continuity of the Green functions $g_{ {\Bbb C}\setminus K}$ is estimated. Markov's constants of the corresponding set are evaluated.
