Calderón's problem for Lipschitz classes and the dimension of quasicircles.

Título inglés	Calderón's problem for Lipschitz classes and the dimension of quasicircles.
Título español	Problema de Calderón para clases de Lipschitz y la dimensión de cuasicírculos.
Autor/es	Astala, Kari
Organización	Dep. Math. Univ. Helsinki, Helsinki, Finlandia
Revista	0213-2230
Publicación	1988, 4 (3-4): 469-486, 17 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	In the last years the mapping properties of the Cauchy integral CΓf(z) = 1/(2πi) ∫Γ [f(ξ) / ξ - z] dξ have been widely studied. The most important question in this area was Calderón's problem, to determine those rectifiable Jordan curves Γ for which CΓ defines a bounded operator on L2(Γ). The question was solved by Guy David [Da] who proved that CΓ is bounded on L2(Γ) (or on Lp(Γ), 1 < p < ∞) if and only if Γ is regular, i.e., H1(Γ ∩ B(z0,R) ≤ CR for every z0 Î C, R > 0 and for some constant C (...).
Clasificación UNESCO	120209
Palabras clave español	Integrales singulares ; Integral de Cauchy ; Dominios de Lipschitz
Código MathReviews	MR1048585
Código Z-Math	Zbl 0703.30036
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