Endpoint multiplier theorems of Marcinkiewicz type.
Terence Tao, James Wright (2001)
Revista Matemática Iberoamericana
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We establish sharp (H,L) and local (L logL,L) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H to L and L logL to L, and that these estimates are sharp.