Sparse domination on non-homogeneous spaces with an application to ApA_p weights

  • Alexander Volberg

    Michigan State University, East Lansing, USA
  • Pavel Zorin-Kranich

    Universität Bonn, Germany
Sparse domination on non-homogeneous spaces with an application to $A_p$ weights cover
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Abstract

We extend Lerner's recent approach to sparse domination of Calderón–Zygmund operators to upper doubling (but not necessarily doubling), geometrically doubling metric measure spaces. Our domination theorem, different from the one obtained recently by Conde-Alonso and Parcet, yields a weighted estimate with the sharp power max(1,1/(p1))(1,1/(p-1)) of the ApA_{p} characteristic of the weight.

Cite this article

Alexander Volberg, Pavel Zorin-Kranich, Sparse domination on non-homogeneous spaces with an application to ApA_p weights. Rev. Mat. Iberoam. 34 (2018), no. 3, pp. 1401–1414

DOI 10.4171/RMI/1029