5. Analytic capacity and the Painlevé problem

2002 ◽  
pp. 67-79
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scholarly journals The arc-length variation of analytic capacity and a conformal geometry

1992 ◽  
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Banach Space ◽  
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For a domain Ω in the extended complex plane C ∪{∞}, H∞(Ω) denotes the Banach space of bounded analytic functions in Ω with supremum norm ∥ · ∥H∞ For ζ ∈ Ω, we putwhere f′(∞) = lim,z→∞z{f (∞) = f(z)} if ζ = ∞.

scholarly journals Large sets of zero analytic capacity

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Keyword(s):  
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scholarly journals Building Analytic Capacity and Statistical Literacy Among Title IV-E MSW Students

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Vol 9 (3) ◽  
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Author(s):  
Bridgette Lery ◽  
Emily Putnam-Hornstein ◽  
Wendy Wiegmann ◽  
Bryn King
Keyword(s):  
Analytic Capacity ◽  
Statistical Literacy ◽  
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scholarly journals Painlevé's problem and the semiadditivity of analytic capacity

2003 ◽  
Vol 190 (1) ◽  
pp. 105-149 ◽  
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Keyword(s):  
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