We consider a suitably normalized Riemann map gζ of the plane annulus with , to the plane doubly connected domain enclosed by the pair of Jordan curves , and we present a nonlinear singular integral equation approach to prove that the nonlinear operator which takes the pair of functions to the triple of functions is real analytic in Schauder spaces.
Analyticity of a Nonlinear Operator Associated to the Conformal Representation of a Doubly Connected Domain in Schauder Spaces
LANZA DE CRISTOFORIS, MASSIMO;
2001
Abstract
We consider a suitably normalized Riemann map gζ of the plane annulus with , to the plane doubly connected domain enclosed by the pair of Jordan curves , and we present a nonlinear singular integral equation approach to prove that the nonlinear operator which takes the pair of functions to the triple of functions is real analytic in Schauder spaces.
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