On sparse domination of some operators in Harmonic Analysis

Series
Analysis Seminar
Time
Wednesday, October 4, 2017 - 1:55pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Grigori Karagulyan – Institute of Mathematics, Yerevan Armenia – http://math.sci.am/user/grigori-karagulyan
Organizer
Michael Lacey
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.