Symmetric Stein–Tomas, and Why Do We Care?

Mandel, Rainer; Oliveira e Silva, Diogo

doi:10.1007/978-3-031-62894-8_14

Trends in Mathematics

2024

DOI: 10.1007/978-3-031-62894-8_14

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Symmetric Stein–Tomas, and Why Do We Care?

Rainer Mandel,

Diogo Oliveira e Silva

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2024

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The endpoint Stein–Tomas inequality: old and new

Oliveira e Silva

2024

São Paulo J. Math. Sci.

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The Stein–Tomas inequality from 1975 is a cornerstone of Fourier restriction theory. Despite its respectable age, it is a fertile ground for current research. This note is centered around three classical applications – to Strichartz inequalities, Salem sets and Roth’s theorem in the primes – and three recent improvements: the sharp endpoint Stein–Tomas inequality in three space dimensions, maximal and variational refinements, and the symmetric Stein–Tomas inequality with applications.

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The endpoint Stein–Tomas inequality: old and new

Oliveira e Silva

2024

São Paulo J. Math. Sci.

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Symmetric Stein–Tomas, and Why Do We Care?

Cited by 1 publication

References 9 publications

The endpoint Stein–Tomas inequality: old and new

The endpoint Stein–Tomas inequality: old and new

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