%0 Journal Article
%T Hardy spaces of the conjugate Beltrami equation
%+ Analysis and Problems of Inverse type in Control and Signal processing (APICS)
%+ Laboratoire d'Analyse, Topologie, Probabilités (LATP)
%A Baratchart, Laurent
%A Leblond, Juliette
%A Rigat, Stéphane
%A Russ, Emmanuel
%< avec comité de lecture
%@ 0022-1236
%J Journal of Functional Analysis
%I Elsevier
%V 259
%P 384-427
%8 2010-04-28
%D 2010
%Z 0907.0744
%R 10.1016/j.jfa.2010.04.004
%Z Mathematics [math]/Complex Variables [math.CV]
%Z Mathematics [math]/Analysis of PDEs [math.AP]Journal articles
%X We study Hardy spaces of solutions to the conjugate Beltrami equation with Lipschitz coefficient on Dini-smooth simply connected planar domains, in the range of exponents $1<\infty$. We analyse their boundary behaviour and certain density properties of their traces. We derive on the way an analog of the Fatou theorem for the Dirichlet and Neumann problems associated with the equation $\mbox{div}(\sigma\nabla u)=0$ with $L^p$-boundary data.
%G English
%2 https://hal.science/hal-00401712v2/document
%2 https://hal.science/hal-00401712v2/file/Hardy-revised-02-03-2010.pdf
%L hal-00401712
%U https://hal.science/hal-00401712
%~ LATP
%~ CNRS
%~ INRIA
%~ UNIV-AMU
%~ INRIA-SOPHIA
%~ INRIASO
%~ INRIA_TEST
%~ TESTALAIN1
%~ I2M
%~ INRIA2
%~ TDS-MACS
%~ ANR