Duality relations in the theory of analytic capacity

DOI10.1090/S1061-0022-03-00800-8zbMath1134.31300OpenAlexW1589079196MaRDI QIDQ4463740

S. Ya. Khavinson

Publication date: 8 June 2004

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-03-00800-8

zbMATH Keywords

exceptional setsCauchy capacityAnalytic capacityapproximation with size constraints

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items

On the analytic and Cauchy capacities

Cites Work

• Complete sequences and approximations in normed linear spaces
• Unrectifiable 1-sets have vanishing analytic capacity
• Analytic capacity, Calderón-Zygmund operators, and rectifiability
• Linear and complex analysis problem book 3. Part 1
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• Cauchy integrals on Lipschitz curves and related operators
• Golubev sums: a theory of extremal problems like the analytic capacity problem and of related approximation processes
• Cauchy's integral formula in domains of arbitrary connectivity
• Analytic capacity: discrete approach and curvature of measure
• On a metric induced by analytic capacity. I.
• Schwarz's Lemma and the Szego Kernel Function
• The Classes L p and Conformal Mapping
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