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Resumen de Smoothness of Cauchy Riemann maps for a class of real hypersurfaces

Hervé Gaussier

  • We study the regularity problem for Cauchy Riemann maps between hypersurfaces in $\mathbb{C}^n$. We prove that a continuous Cauchy Riemann map between two smooth $\mathcal{C}^\infty$ pseudoconvex decoupled hypersurfaces of finite D'Angelo type is of class $\mathcal{C}^\infty$.


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