Smoothness of the Green function for a special domain

Serkan Celik; Alexander Goncharov

Annales Polonici Mathematici, Tome 105 (2012), p. 113-126 / Harvested from The Polish Digital Mathematics Library

Résumé

We consider a compact set K ⊂ 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 $g_{ℂ ∖ K}$ is estimated. Markov’s constants of the corresponding set are evaluated.

Publié le : 2012-01-01

Zbl 1254.31003

EUDML-ID : urn:eudml:doc:280427

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     year = {2012},
     pages = {113-126},
     zbl = {1254.31003},
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Serkan Celik; Alexander Goncharov. Smoothness of the Green function for a special domain. Annales Polonici Mathematici, Tome 105 (2012) pp. 113-126. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-9/