Sharp Lorentz space estimates for rough operators

Mathematics – Classical Analysis and ODEs

Scientific paper

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26 pages, no figures, submitted to Math. Annalen

Scientific paper

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.

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