On sparse domination of some operators in Harmonic Analysis

Analysis Seminar
Wednesday, October 4, 2017 - 13:55
1 hour (actually 50 minutes)
Skiles 005
Institute of Mathematics, Yerevan Armenia
We introduce a class of operators on abstract measurable spaces, which unifies variety of operators in Harmonic Analysis. We prove that such operators can be dominated by simple sparse operators. Those domination theorems imply some new estimations for Calderón-Zygmund operators,  martingale transforms and Carleson operators.