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Grigori Karagulyan: On sparse domination of some operators in Harmonic Analysis

Time: Wed 2017-11-01 13.15 - 14.15

Location: F11

Participating: Grigori Karagylyan

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Abstract: 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, maximal functions, martingale transforms and Carleson operators.