Mathematical Proceedings of the Cambridge Philosophical Society

Conformal deformations of uniform Loewner spaces

a1 Department of Mathematics, University of Cincinnati, OH 45221 e-mail:

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herron d   [Google Scholar] 


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)