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arxiv: 1705.07397 · v1 · pith:4OJMYQKOnew · submitted 2017-05-21 · 🧮 math.CA

A weak type estimate for rough singular integrals

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

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