NONDECREASING FUNCTIONS, EXCEPTIONAL SETS AND GENERALIZED BOREL LEMMAS
نویسندگان
چکیده
منابع مشابه
Non-decreasing Functions, Exceptional Sets and Generalised Borel Lemmas
The Borel lemma says that any positive non-decreasing continuous function T satisfies T (r+1/T (r)) ≤ 2T (r) outside of a possible exceptional set of finite linear measure. This lemma plays an important role in the theory of entire and meromorphic functions, where the increasing function T is either the logarithm of the maximum modulus function, or the Nevanlinna characteristic. As a result, ex...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2010
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788710000212