BCAM and UPV/EHU Ikerbasque Research Professor; UPV/EHU Distinguished Researcher

Harmonic Analysis

Dirección

Mazarredo, 14. 48009 Bilbao Basque Country - Spain

Contacto

• Tel.: +34 946 567 842
• Fax: +34 946 567 843
• e-mail: cperez@bcamath.org
• Curriculum Vitae

My research is mainly focused in the area of Real and Harmonic Analysis. More recently I have been interested in the deep connection between the operator norm of some of the basic operators from Harmonic Analysis such as the Calderón-Zygmund operators, its commutators or maximal functions with the growth of the Ap constants in different various natural spaces. I am also particularly interested in other deep aspects of the theory such as the extrapolation theory and the Reverse Hölder property of the Ap class of weights. I also consider multilinear aspects of the Calderón-Zygmund theory where many questions are still open. Another good portion of my research interest is related to the theory of multiparameter Harmonic Analysis and its interplay with the theory of weights. I also like to explore the connection with questions coming from the theory of Schrödinger operators and (degenerate) Poincaré-Sobolev inequalities.