scholarly journals The arc-length variation of analytic capacity and a conformal geometry

1992 ◽  
Vol 125 ◽  
pp. 151-216
Author(s):  
Takafumi Murai
Keyword(s):  
Banach Space ◽  
Complex Plane ◽  
Analytic Functions ◽  
Conformal Geometry ◽  
Supremum Norm ◽  
Length Variation ◽  
Analytic Capacity ◽  
Arc Length ◽  
Bounded Analytic Functions ◽  
Extended Complex

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

2001 ◽  
Vol 129 (12) ◽  
pp. 3543-3548
Author(s):  
John Garnett ◽  
Stan Yoshinobu
Keyword(s):  
Analytic Capacity ◽  
Large Sets

scholarly journals Building Analytic Capacity and Statistical Literacy Among Title IV-E MSW Students

2015 ◽  
Vol 9 (3) ◽  
pp. 256-276 ◽  
Author(s):  
Bridgette Lery ◽  
Emily Putnam-Hornstein ◽  
Wendy Wiegmann ◽  
Bryn King
Keyword(s):  
Analytic Capacity ◽  
Statistical Literacy ◽  
Title Iv ◽  
Msw Students

scholarly journals Painlevé's problem and the semiadditivity of analytic capacity

2003 ◽  
Vol 190 (1) ◽  
pp. 105-149 ◽  
Author(s):  
Xavier Tolsa
Keyword(s):  
Analytic Capacity
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