A Remark on the Exactness of Inner Functions

Jon Aaronson

doi:10.1112/jlms/s2-23.3.469

A Remark on the Exactness of Inner Functions

Jon Aaronson^*

^*Corresponding author for this work

Institut des Hautes Etudes Scientifiques

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The boundary restriction of an inner function of the upper half plane leaves Lebesgue measure quasiinvariant. It may have a finite, or infinite, invariant measure. We show that ergodicity implies exactness for non-M6bius restrictions, using a recent result of Ch. Pommerenke, and exhibit exact, totally dissipative restrictions.

Original language	English
Pages (from-to)	469-474
Number of pages	6
Journal	Journal of the London Mathematical Society
Volume	s2-23
Issue number	3
DOIs	https://doi.org/10.1112/jlms/s2-23.3.469
State	Published - Jun 1981
Externally published	Yes

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10.1112/jlms/s2-23.3.469

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A Remark on the Exactness of Inner Functions

Abstract

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