Analytic Capacity and Rational Approximation

Inhaltsverzeichnis

• Peak points.
• Analytic capacity.
• Some useful facts.
• Estimates for integrals.
• Melnikov's theorem.
• Further results.
• Applications.
• The problem of rational approximation.
• AC capacity.
• A scheme for approximation.
• Vitushkin's theorem.
• Applications of Vitushkin's theorem.
• Geometric conditions.
• Function algebra methods.
• Some open questions.