Israel Rivera Rios will defend his doctoral thesis on February 27th

Israel Pablo Rivera Rios joined BCAM-Basque Center of Applied Mathematics as a Visiting PhD Student within the Harmonic Analysis Research Line in 2017, coming from the Universidad de Málaga, Spain where he obtained his BA diploma and master degrees.

His PhD thesis has been directed by Carlos Pérez Moreno, BCAM UPV/EHU Ikerbasque Research Professor. The defense will take place on February 27th, 2018, 11:30h, Salón de Grados, Science and Technology Faculty (UPV/ EHU Leioa, Basque Country, Spain).

Title:On Quantitative weighted estimates for singular integrals and commutators

Abstract:

In this dissertation several quantitative weighted estimates for singular integral operators, commutators and some vector valued extensions are obtained. In particular strong and weak type (p,p) estimates,Coifman- Fefferman estimates, Fefferman-Stein estimates, Bloom type estimates and endpoint estimates are provided. Most of the proofs of those results rely upon suitable sparse domination results that are provided as well in this dissertation. Also, as an application of the sparse estimates, local exponential decay estimates are revisited, providing new proofs and results for vector valued extensions.