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The size of irregular points for a measure. (English) Zbl 06083190
##### MSC:
 42C05 General theory of orthogonal functions and polynomials
##### Keywords:
orthogonal polynomial; regularity of measure
##### References:
 [1] A. Ancona, Démonstration d’une conjecture sur la capacité et l’effilement, C. R. Acad. Sci. Paris, 297 (1983), 393–395. [2] E. Levin and D. S. Lubinsky, The size of the set of $\mu$-irregular points of a measure $\mu$, Acta Math. Hungar., 133 (2011), 242–250. · Zbl 1265.42090 · doi:10.1007/s10474-011-0091-5 [3] T. Ransford, Potential Theory in the Complex plane, Cambridge University Press (Cambridge, 1995). [4] E. B. Saff and V. Totik, Logarithmic Potentials with External Fields, Grundlehren der mathematischen Wissenschaften, 316, Springer-Verlag (New York/Berlin, 1997). [5] H. Stahl and V. Totik, General Orthogonal Polynomials, Encyclopedia of Mathematics and its Applications, 43, Cambridge University Press (Cambridge, 1992). [6] M. Tsuji, Potential Theory in Modern Function Theory, Maruzen (Tokyo, 1959). [7] J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, 3rd ed., Amer. Math. Soc. Colloquium Publications, XX, Amer. Math. Soc. (Providence, 1960).