BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Gianmarco Brocchi DTSTART:20210616T163000Z DTEND:20210616T173000Z DTSTAMP:20260423T021305Z UID:HAeS/17 DESCRIPTION:Title: Sp arse T1 theorems\nby Gianmarco Brocchi as part of Harmonic analysis e- seminars\n\n\nAbstract\nMany operators in analysis are non-local\, in the sense that a\n perturbation of the input near a point modifies the output \n everywhere\; consider for example the operator that maps the initial\n data to the corresponding solution of the heat equation.\n\n Sparse Dom ination consists in controlling such operators by a sum of\n positive\, l ocal averages. This allows to derive plenty of estimates\,\n which are of ten optimal. For example\, it has been shown that Calderón--Zygmund opera tors\n and square functions admit such a domination even under minimal $T 1$ hypotheses.\\newline\n\n In this talk we introduce the concept of spar se domination\n and present a sparse $T1$ theorem for square functions\,\ n discussing the new difficulties and ideas in this case.\n\n Time perm itting\, we will see how sparse domination can be applied\n in very diffe rent context.\n LOCATION:https://researchseminars.org/talk/HAeS/17/ END:VEVENT END:VCALENDAR