CORDIS Project
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This research program explores singular integral operators in Harmonic Analysis, utilizing techniques from both Analysis and Probability. It aims to address various mathematical problems and enhance understanding of operator theory in different contexts.
The proposal consists of an extensive research program to advance the understanding of singular integral operators of Harmonic Analysis in various situations on the borderline of the existing theory.
This is to be achieved by a creative combination of techniques from Analysis and Probability.
On top of the standard arsenal of modern Harmonic Analysis, the main probabilistic tools are the martingale transform inequalities of Burkholder, and random geometric constructions in the spirit of the rand…
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