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Next seminar:
Next seminar:
04/03/26 - Ioannis Parissis - 5:30 p. m.
04/03/26 - Ioannis Parissis - 5:30 p. m.
(Ikerbasque & University of the Basque Country (EHU))
(Ikerbasque & University of the Basque Country (EHU))
An Overview of Maximal Directional Singular Integrals in Two and Higher Dimensions: Recent Advances and Open Problems
Abstract. This talk surveys several developments in the study of directional singular integrals and maximal directional averages. These questions are motivated in part by differentiation along directions and by the maximal Kakeya and Nikodym conjectures, while their singular integral counterparts have a deep connection to Carleson’s theorem on pointwise convergence of Fourier series and, in higher dimensions, to the problem of spherical summation. Part of the talk will give a high-level description of some strategies of proof leading to the recent resolution of the sharp L²-bounds for maximal directional averages in higher dimensions. This talk reports on joint work with Francesco Di Plinio (Università di Napoli Federico II).
This series of seminars is addressed to an audience interested in Harmonic Analysis in the broadest possible sense. The seminars will not necessarily concern the latest research results; the speaker may also give a talk about open problems or a survey colloquium.
The conferences take place generally every two weeks on Wednesday at 5:30 p. m. (Rome time).
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Organizers:
Tommaso Bruno (Università di Genova)
Valentina Casarino (Università degli Studi di Padova)
Bianca Gariboldi (Università degli Studi di Bergamo)
Alessio Martini (Politecnico di Torino)
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