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Analysis days in Sirius
October 26, 2021 11:55–12:40, Sochi, online via Zoom at 10:55 CEST (=09:55 BST, =04:55 EDT)
 


Bellman function for the Gundy theorem

N. N. Osipovab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b National Research University "Higher School of Economics", St. Petersburg Branch

Abstract: We discuss how to apply the Bellman function method to general operators on martingales that are not necessarily martingale transforms. Namely, we present a Bellman-type function that gives the uniform $L^p$-boundedness for the class of operators associated with Gundy’s extrapolation theorem. As an example, we consider the operator whose $L^p$-boundedness implies Rubio de Francia's inequality for the Walsh system.
This is a joint talk with V. A. Borovitskiy and A. S. Tselishchev.

Language: English

Website: https://us02web.zoom.us/j/6250951776?pwd=aG5YNkJndWIxaGZoQlBxbWFOWHA3UT09

* ID: 625 095 1776, password: pade
 
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