TY - JOUR
T1 - A Remark on the Exactness of Inner Functions
AU - Aaronson, Jon
PY - 1981/6
Y1 - 1981/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0011499693&partnerID=8YFLogxK
U2 - 10.1112/jlms/s2-23.3.469
DO - 10.1112/jlms/s2-23.3.469
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AN - SCOPUS:0011499693
SN - 0024-6107
VL - s2-23
SP - 469
EP - 474
JO - Journal of the London Mathematical Society
JF - Journal of the London Mathematical Society
IS - 3
ER -