On sparse sets with the Green function of the highest smoothness

DOI10.1007/BF03321100zbMath1094.30005MaRDI QIDQ2492080

Vladimir V. Andrievskii

Publication date: 6 June 2006

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

Green's functionHausdorff dimensioncompact setconformal invariants

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10)

Related Items

Bergman kernel and hyperconvexity index ⋮ Bernstein polynomial inequality on a compact subset of the real line ⋮ Polynomial approximation of piecewise analytic functions on a compact subset of the real line

Cites Work

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• On the boundary continuity of conformal maps
• Integral means, univalent functions and circular symmetrization
• Comparing two versions of Markov's inequality on compact sets
• On Markoff's inequality
• The highest smoothness of the Green function implies the highest density of a set
• On results of Ahlfors and Hayman
• A Cantor regular set which does not have Markov's property
• Markov's property of the Cantor ternary set

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