학술저널
LOGARITHMIC CAPACITY UNDER CONFORMAL MAPPINGS OF THE UNIT DISC
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 3
-
2010.09463 - 470 (8 pages)
- 2
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 p r · cap(P(f; r)) · pk r : Where k is the positive con- stant.
1. Modulus and logarithmic capacity
2. Capacity under some conformal mappings
3. Proof of the theorem 2.1
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