The simplex Hilbert transform is a singular integral form related to the multilinear Hilbert transform and Carleson’s operator. Boundedness of the simplex Hilbert transform is is one of the major open problems in harmonic analysis. In this talk we discuss bounds for a superposition of simplex Hilbert transforms in low dimensions, and related singular integral forms. Joint work with Joris Roos.
Averages of simplex Hilbert transforms
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Nom de l'orateur
Polona Durcik
Etablissement de l'orateur
Caltech
Date et heure de l'exposé
Lieu de l'exposé
Salle des séminaires