Norms on earthquake measures and Zygmund functions

Hu, Jun

doi:10.1090/S0002-9939-04-07545-8

Norms on earthquake measures and Zygmund functions
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Proc. Amer. Math. Soc. 133 (2005), 193-202 Request permission

Abstract:

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.

References

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