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

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

2011-11-29

arxiv.org/abs/1111.6776v3

Mathematics

Functional Analysis

41 pages

Scientific paper

We study Hardy spaces $H^p_\nu$ of the conjugate Beltrami equation $\bar{\partial} f=\nu\bar{\partial f}$ over Dini-smooth finitely connected domains, for real contractive $\nu\in W^{1,r}$ with $r>2$, in the range $r/(r-1)

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