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Kristian Seip: Critical exponents for the Riesz projection

Tid: On 2024-02-14 kl 11.00 - 12.00

Plats: Albano, house 1, floor 3, Cramérrummet

Medverkande: Kristian Seip (NTNU)

Abstract:

We study the Riesz projection on \(\mathbb T^d\) for \(d\ge 1\) and are interested in knowing when it is a contraction from \(L^q\) to \(L^p\). The critical exponent for a given \(q\) is the largest \(p\) for which contractivity holds. I will try to motivate this problem and explain what is known, and what we are unable to prove but expect to be true. The talk is based on a joint paper with H. Queffélec, S. Konyagin, and E. Saksman as well as work in progress with O. Brevig and A. Llinares.