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.File in questo prodotto:
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