Endpoint estimates for compact Calderón–Zygmund operators

Jan-Fredrik Olsen; Paco Villarroya

doi:10.4171/rmi/972

JournalsrmiVol. 33, No. 4pp. 1285–1308

Endpoint estimates for compact Calderón–Zygmund operators

Jan-Fredrik Olsen
Lund University, Sweden
Paco Villarroya
Lund University, Sweden

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Abstract

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

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