Hausdorff dimension of escaping sets of meromorphic functions
نویسندگان
چکیده
We give a complete description of the possible Hausdorff dimensions escaping sets for meromorphic functions with finite number singular values. More precisely, any given $d\in [0,2]$ we show that there exists such function which dimension set is equal to $d$. The main ingredient glue together suitable by using quasiconformal mappings. Moreover, are uncountably many quasiconformally equivalent have different dimensions.
منابع مشابه
On the Hausdorff Dimension of the Escaping Set of Certain Meromorphic Functions
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2021
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8299