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Smoothness of the Green function for a special domain

2012
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Annales Polonici Mathematici
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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. 2010 Mathematics Subject Classification: Primary 31A15; Secondary 41A10, 41A17. respect to a regular (in the sense of [ST]) measure. Following [G2], we construct a sequence of "nearly Chebyshev" polynomials for K and find the exact (up to

doi:10.4064/ap106-0-9
fatcat:rhtfww3ryzdrbj2zflj4yxpnym