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math.CA2001
improving bounds for averages along curves
Terence Tao, Jim Wright
We establish local mapping properties for averages on curves. The exponents are sharp except for endpoints.
math.CA2000
Endpoint multiplier theorems of Marcinkiewicz type
Terence Tao, Jim Wright
We establish sharp (H^1, L^{1,q}) and local (L \log^r L, L^{1,q}) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marci…