\(ABC\)-type estimates via Garsia-type norms (Q2906470)
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scientific article; zbMATH DE number 6077515
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(ABC\)-type estimates via Garsia-type norms |
scientific article; zbMATH DE number 6077515 |
Statements
5 September 2012
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Mason's theorem
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Garcia type norm
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Lipschitz spaces
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Blaschke product
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\(ABC\)-type estimates via Garsia-type norms (English)
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The article deals with extensions of the Mason-Stothers theorem (which is quoted, for some mysterious reasons, as ``the abc theorem'') from polynomials to analytic functions in the unit disk. The author obtains such a generalization in [C. R., Math., Acad. Sci. Paris 348, No. 23--24, 1259--1261 (2010; Zbl 1211.30003)]. In this paper, the number of the zeros of an analytic function is replaced with the norm of the corresponding Blaschke product in a suitable function space.NEWLINENEWLINEFor the entire collection see [Zbl 1232.30005].
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