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Capacities and Spans on Riemann Surfaces

Capacities and Spans on Riemann Surfaces

Let K(z,z), R(z,z), and C(z) be the values of the Bergman kernel, the reduced Bergman kernel and the analytic capacity on an open Riemann surface Û (with respect to a local parameter z).Let M(z) = itK(z, z) and S(z) = Vw.R (z, z) .For Í2 £ Oa and for each …