A weak type estimate for rough singular integrals

Andrei K. Lerner

doi:10.4171/rmi/1094

JournalsrmiVol. 35, No. 5pp. 1583–1602

A weak type estimate for rough singular integrals

Andrei K. Lerner
Bar-Ilan University, Ramat Gan, Israel

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Abstract

We obtain a weak type (1, 1) estimate for a maximal operator associated with the classical rough homogeneous singular integrals $T_{Ω}$ . In particular, this provides a different approach to a sparse domination for $T_{Ω}$ obtained recently by Conde-Alonso, Culiuc, Di Plinio and Ou.

Cite this article

Andrei K. Lerner, A weak type estimate for rough singular integrals. Rev. Mat. Iberoam. 35 (2019), no. 5, pp. 1583–1602

DOI 10.4171/RMI/1094