On a metric induced by analytic capacity. I.

DOI10.2996/kmj/1138846773zbMath0264.30023OpenAlexW1976477298MaRDI QIDQ5680365

Noboyuki Suita

Publication date: 1973

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

Full work available at URL: https://doi.org/10.2996/kmj/1138846773

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Differentials on Riemann surfaces (30F30) Kernel functions in one complex variable and applications (30C40)

Related Items (11)

Suita conjecture and the Ohsawa-Takegoshi extension theorem ⋮ Boundary behaviour of some conformal invariants on planar domains ⋮ Computation of analytic capacity and applications to the subadditivity problem ⋮ A submultiplicative property of the Carathéodory metric on planar domains ⋮ The arc-length variation of analytic capacity and a conformal geometry ⋮ Pick's theorem with operator-valued holomorphic functions ⋮ On a metric induced by analytic capacity. II. ⋮ The Carathéodory metric in plane domains ⋮ The Hahn metric on Riemann surfaces ⋮ On the linear transformations of Ahlfors functions ⋮ Duality relations in the theory of analytic capacity

Cites Work

• Unnamed Item
• Capacities and kernels on Riemann surfaces
• Confromal invariants and function-theoretic null-sets
• On a Class of Conformal Metrics
• Analytic capacity of sets, joint nontriviality of various classes of analytic functions and the Schwarz lemma in arbitrary domains
• An Extension of Schwarz's Lemma

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