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Sep 30, 2026, 11:00 AM - 1:30 PM

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Analysis Seminar: Predictable subordination, sharp martingale inequalities, and applications

Oct 2, 2026, 11:30 AM - 12:30 PM

 

Speaker: Francesco D'Emilio, Washington University in St. Louis

Title:  Predictable subordination, sharp martingale inequalities, and applications

 

Abstract:   We introduce a new method for obtaining sharp martingale inequalities under predictable analogues of differential subordination, thereby weakening the classical hypothesis introduced by Burkholder and Wang. The main idea is to treat simultaneously the continuous and jump contributions arising from the relevant Bellman function, rather than estimating them separately. This principle is flexible and applies to a broad class of Bellman-function arguments. As an application, we combine these results with martingale representations of Riesz transforms to obtain improved bounds in settings not covered by classical differential subordination.

 

Date/Time: Friday, October 2, 11:30am

Location: Exploratory Hall, Room 4106 or Zoom

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