Norms on Earthquake Measures and Zygmund Functions

@inproceedings{Jun2004NormsOE,
  title={Norms on Earthquake Measures and Zygmund Functions},
  author={Hu Jun and J. Heinonen},
  year={2004}
}
The infinitesimal earthquake theorem gives a one-to-one correspondence between Thurston bounded earthquake measures and normalized Zygmund bounded functions. In this paper, we provide an intrinsic proof of a theorem given in an earlier paper by the author; that is, we show that the cross-ratio norm of a Zygmund bounded function is equivalent to the Thurston norm of the earthquake measure in the correspondence. 

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References

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Earthquake curves

F. P. Gardiner, J. Hu, N. Lakic
Contemporary Mathematics, • 2002

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W. P. Thurston
In Low-dimensional Topology and Kleinian groups, • 1986

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