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On the conformal
mapping of variable regions
Frank J. Polansky |
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Vol. 34 (1970), No. 1, 145–155
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Abstract |
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We establish an estimate for the functional  Cρ is the circumference |t| = ρ,0 ≦ ρ < 1. Here f and g are normalized conformal mapping functions of |z| < 1 onto a pair of bounded, open, simply connected, origin containing domains in the w plane whose boundaries are near each other in some sense. In the second part of the paper we establish an estimate for the functional I(f′,g′;p) in case the boundaries are additionally assumed to be rectifiable. |
Mathematical Subject Classification
Primary: 30.40
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Milestones
Received: 12 February 1968
Published: 1 July 1970
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Authors |
| Frank J. Polansky | |
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