Simply Connected Fast Escaping Fatou Components
نویسندگان
چکیده
منابع مشابه
Boundaries of Escaping Fatou Components
Let f be a transcendental entire function and U be a Fatou component of f . We show that if U is an escaping wandering domain of f , then most boundary points of U (in the sense of harmonic measure) are also escaping. In the other direction we show that if enough boundary points of U are escaping, then U is an escaping Fatou component. Some applications of these results are given; for example, ...
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2012
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2012.v8.n4.a10