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Smoothness of the Green function for a special domain

Serkan Celik; Alexander Goncharov — 2012

Annales Polonici Mathematici

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.

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