LOGARITHMIC CAPACITY UNDER CONFORMAL MAPPINGS OF THE UNIT DISC

초록

If P(f,r) is the set of endpoints of radii which have length greater than or equal to r > 0 under a conformal mapping f of the unit disc. Then for large r, the logarithmic capacity of P(f,r), 1/2√r ≤ cap(P(f,r))≤ k/√r. Where k is the positive constant.

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