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A new class of Hardy spaces and microlocal analysis of traces of solutions of PDEs


This project involve areas of PDEs, harmonic analysis and several complex variables. In particular it deals with: i) microlocal regularity of boundary values in involutive structures; ii) microlocal regularity of solutions of first order non-linear PDEs; iii) existence of boundary values (in the sense of ultradistributions) of homogeneous solutions of locally integrable planar vector fields; iv) development of a new class of Hardy spaces and study of its functional properties; v) use of this new class to study regularity of solutions in integrable an/or CR structures. (AU)

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