Predoctoral researcher at Universitat Autònoma de Barcelona (UAB).

 

Research interests

My research is developed on the topics of harmonic analysis and geometric measure theory.

Starting from the boundedness of the Beurling transform in the Sobolev space of a domain, I have been deepening more and more in that field obtaining some results for a wide class of Calderón-Zygmund convolution operators and for high degrees of smoothnes in the Sobolev sense.

This investigation has let me to get some knowledge on Sobolev, Besov and Triebel-Lizorkin spaces, Calderón-Zygmund operators, and some techinques related to dyadic cubes such as Whitney decompositions and the use of David-Semmes betas.

Articles from Martí Prats.

Presentations from Martí Prats.

 

Contact

Departament de Matemàtiques
Edifici C Facultat de Ciències
08193 Bellaterra (Barcelona)
mprats [at] mat.uab.cat