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Sharp Lorentz space estimates for rough operators

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Abstract.

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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Authors and Affiliations

  1. University of Wisconsin, Madison, WI 53706-1388, (e-mail: seeger@math.wisc.edu) , , , , , , US

    Andreas Seeger

  2. University of California, Los Angeles, CA 90095-1555, USA , , , , , , US

    Terence Tao

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  1. Andreas Seeger
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  2. Terence Tao
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Received December 10, 1999 / Published online April 12, 2001

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Seeger, A., Tao, T. Sharp Lorentz space estimates for rough operators. Math Ann 320, 381–415 (2001). https://doi.org/10.1007/PL00004479

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  • DOI: https://doi.org/10.1007/PL00004479

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