Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation

Laurent Baratchart, Yannick Fischer, Juliette Leblond

We study Hardy spaces $H_{\nu }^p$ of the conjugate Beltrami equation $\bar{\partial }f=\nu \overline{\partial f}$ over Dini-smooth finitely connected domains, for real contractive $ν\in W^{1,r…