The arc-length variation of analytic capacity and a conformal geometry

DOI10.1017/S0027763000003950zbMath0809.30017MaRDI QIDQ4039464

Takafumi Murai

Publication date: 30 August 1993

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

zbMATH Keywords

differential equationSzegö kernelanalytic capacityLöwner

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85)

Cites Work

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• Über die analytische Kapazität
• The power 3/2 appearing in the estimate of analytic capacity
• Hall-order differentials on Riemann surfaces
• The Garabedian function of an arbitrary compact set
• Connections and conformal mapping
• Bounded analytic functions
• Various types of orthogonalization
• Distortion of length in conformal mapping
• Analytic capacity for two segments
• On a metric induced by analytic capacity. II.
• On a metric induced by analytic capacity. I.