%0 Journal Article %T Pseudo-holomorphic functions at the critical exponent %+ Analysis and Problems of Inverse type in Control and Signal processing (APICS) %+ Institut de Mathématiques de Marseille (I2M) %A Baratchart, Laurent %A Borichev, Alexander %A Chaabi, Slah %< avec comité de lecture %@ 1435-9855 %J Journal of the European Mathematical Society %I European Mathematical Society %V 18 %N 9 %P 1919 - 1960 %8 2016 %D 2016 %R 10.4171/JEMS/634 %K Pseudo-holomorphic functions %K conductivity equations. %K Hardy spaces %K conjugate Beltrami equations %K conductivity equations %Z AMS 30C62; 30E25; 30H10; 34K29; 35J56 %Z Mathematics [math]/Complex Variables [math.CV] %Z Mathematics [math]/Analysis of PDEs [math.AP]Journal articles %X We study Hardy classes on the disk for pseudo holomorphic functions with coefficients in Lr with 2=< r %X Nous étudions les classes de Hardy pseudo-holomorphes du disque lorsque les coefficients sont Lr, 2=< r %G English %2 https://inria.hal.science/hal-00824224v2/document %2 https://inria.hal.science/hal-00824224v2/file/BBCsubmitted.pdf %L hal-00824224 %U https://inria.hal.science/hal-00824224 %~ CNRS %~ INRIA %~ UNIV-AMU %~ INRIA-SOPHIA %~ EC-MARSEILLE %~ INRIASO %~ INRIA_TEST %~ TESTALAIN1 %~ I2M %~ I2M-2014- %~ INRIA2 %~ TDS-MACS %~ ANR %~ INRIAARTDOI