An internal polya inequality for \(\mathbb{C}\)-convex domains in \(\mathbb{C}^n\)

DOI10.1134/S0001434619030052zbMath1422.32007arXiv1606.00186OpenAlexW2944502599MaRDI QIDQ2314099

Ozan Günyüz, Vyacheslav Zakharyuta

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.00186

zbMATH Keywords

transfinite diameterPolya inequality\(\mathbb{C}\)-convexity

Mathematics Subject Classification ID

Other generalizations of function theory of one complex variable (32A30) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• Strong linear convexity. I: Duality of spaces of holomorphic functions
• Complex convexity and analytic functionals
• Transfinite diameter and some theorems of Polya in the case of several complex variables
• Weak lineal convexity
• The homogeneous transfinite diameter of a compact subset of $ℂ^N$
• TRANSFINITE DIAMETER, ČEBYŠEV CONSTANTS, AND CAPACITY FOR COMPACTA IN $ \mathbf{C}^n$
• Internal characteristics of domains in Cⁿ

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