We establish sharp and local ( log) mapping properties for rough one-dimensional multipliers. In particular we show that the multipliers in the Marcinkiewicz multiplier theorem map to and log to , and that these estimates are sharp.
Cite this article
Terence Tao, James Wright, Endpoint multiplier theorems of Marcinkiewicz type. Rev. Mat. Iberoam. 17 (2001), no. 3, pp. 521–558DOI 10.4171/RMI/303