scholarly journals Analytic capacity and holomorphic motions

2019 ◽  
Vol 23 (7) ◽  
pp. 130-134
Author(s):  
Stamatis Pouliasis ◽  
Thomas Ransford ◽  
Malik Younsi
Keyword(s):  
Analytic Capacity ◽  
Holomorphic Motions

Holomorphic Motions and Teichmuller Spaces

1994 ◽  
Vol 343 (2) ◽  
pp. 927 ◽  
Author(s):  
C. J. Earle ◽  
I. Kra ◽  
S. L. Krushkal'
Keyword(s):  
Teichmüller Spaces ◽  
Holomorphic Motions ◽  
Teichmuller Spaces

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
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