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Weak type (p,p) estimates for Riesz transforms

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Abstract.

We consider the problem of L p -boundedness of higher order Riesz transforms associated to elliptic operators L of order 2m on As an application of the recently solved Kato conjecture, we show for all This generalizes the result of Auscher and Tchamitchian restricted to the case D≤2m.

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Authors and Affiliations

  1. Université de Cergy-Pontoise, Département de Mathématiques, 2, avenue Adolphe Chauvin, 95302, Cergy-Pontoise, France

    S. Blunck

  2. Universität Karlsruhe, Mathematisches Institut I, Englerstr. 2, 76128, Karlsruhe, Germany

    P.C. Kunstmann

Authors
  1. S. Blunck
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  2. P.C. Kunstmann
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Correspondence to S. Blunck.

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in final form: 7 April 2003

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Blunck, S., Kunstmann, P. Weak type (p,p) estimates for Riesz transforms. Math. Z. 247, 137–148 (2004). https://doi.org/10.1007/s00209-003-0627-7

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  • DOI: https://doi.org/10.1007/s00209-003-0627-7

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