Endpoint estimates for compact Calderón–Zygmund operators

  • Jan-Fredrik Olsen

    Lund University, Sweden
  • Paco Villarroya

    Lund University, Sweden

Abstract

We prove necessary and sufficient conditions for a Calderón–Zygmund operator to extend compactly at the endpoint from L1(Rd)L^{1}(\mathbb R^{d}) into L1,(Rd)L^{1,\infty}(\mathbb R^{d}).

Cite this article

Jan-Fredrik Olsen, Paco Villarroya, Endpoint estimates for compact Calderón–Zygmund operators. Rev. Mat. Iberoam. 33 (2017), no. 4, pp. 1285–1308

DOI 10.4171/RMI/972