Mathematical Proceedings of the Cambridge Philosophical Society



Conformal deformations of uniform Loewner spaces


DAVID A HERRON a1
a1 Department of Mathematics, University of Cincinnati, OH 45221 e-mail: david.herron@math.uc.edu

Article author query
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Abstract

We study conformal deformations of uniform Loewner spaces, verify the Gehring-Hayman Inequality, demonstrate uniform continuity of the identity mapping, and provide results which describe the boundary of the deformed space. In addition, we establish two connections between Hausdorff content and modulus.

(Received April 15 2002)
(Revised August 27 2002)