Introduction Program Talks & posters Participants Practical Info
Young Women in Harmonic Analysis and PDE
December 2-4, 2016
Kristina Ana Škreb (University of Zagreb)
Bellman functions and $L^p$ estimates for paraproducts
We regard dyadic paraproducts as trilinear forms. Even though they are well-known to satisfy $L^p$ estimates in the whole Banach range of exponents, one might want to give a direct proof or study the behavior of the constants. We find an explicit formula for one possible Bellman function associated with the $L^p$ boundedness of dyadic paraproducts in the spirit of the Bellman function by Nazarov, Treil, and Volberg. Then we apply the same Bellman function in various other settings, to give self-contained alternative proofs of the estimates for several classical operators. These include the martingale paraproducts of Bañuelos and Bennett and the paraproducts with respect to the heat flows. This is a joint work with Vjekoslav Kovač (University of Zagreb).
News
Bonn mathematics performs excellently again in QS ranking
Stefan Schwede is invited speaker at the ECM 2024 in Sevilla
Jessica Fintzen wins Cole Prize
Regula Krapf receives university teaching award
Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Grants for Mathematics students from Ukraine
Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Peter Scholze elected as Foreign Member of the Royal Society