, Volume 320, Issue 2, pp 381-415

Sharp Lorentz space estimates for rough operators

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We demonstrate the \((H^1,L^{1,2})\) or \((L^p,L^{p,2})\) mapping properties of several rough operators. In all cases these estimates are sharp in the sense that the Lorentz exponent 2 cannot be replaced by any lower number.

Received December 10, 1999 / Published online April 12, 2001