On L^p extremals for Fourier extension type operators-China University of Mining & Technology-Beijing-China University of Mining & Technology-Beijing

On L^p extremals for Fourier extension type operators

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speaker: Boning Di

time: 2025.5.22,11:00-12:00 am

place: Yifu Building 1417

Abstract：

Fourier extension type operators are the dual forms of Fourier restriction type operators. Under the assumption of boundedness, we study the extremal functions for these operators. In particular, I will introduce some recent results on the existence of L^p extremals and L^2 extremals in different situations. The proofs mainly rely on some concentration-compactness (profile decomposition) arguments. This talk is based on a series of joint works with Chenjie Fan, Ryan Frier, Ning Liu and Dunyan Yan.

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