When Hannah Cairo started showing up at Berkeley Math Circle meetings as a teenager, nobody was betting she would topple a ...

Abstract We show that the Hilbert transform does not map 𝐿¹(𝑀Φ𝑤) to 𝐿¹,∞(𝑤) for every Young function Φ growing more slowly than 𝑡 log log(𝖾𝖾+𝑡). Our proof is based on a construction of M.C.