Artículos de revistas
On a counterexample related to weighted weak type estimates for singular integrals
Fecha
2017-01-06Registro en:
Caldarelli, Marcela Rosa; Lerner, Andrei; Ombrosi, Sheldy Javier; On a counterexample related to weighted weak type estimates for singular integrals; American Mathematical Society; Proceedings of the American Mathematical Society; 145; 7; 6-1-2017; 3005-3012
0002-9939
CONICET Digital
CONICET
Autor
Caldarelli, Marcela Rosa
Lerner, Andrei
Ombrosi, Sheldy Javier
Resumen
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. Reguera and C. Thiele.