Resumen de Endpoint multiplier theorems of Marcinkiewicz type

James Wright, Terence Tao

• We establish sharp (H1,L1,q) and local (L logrL,L1,q) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H1 to L1,8 and L log1/2L to L1,8, and that these estimates are sharp.