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arxiv: 1801.10071 · v2 · pith:DACT5N4Snew · submitted 2018-01-30 · 🧮 math.CA

The Helicoidal Method

classification 🧮 math.CA
keywords helicoidalmethodmultipleprovingvector-valuedanalysisdesigneddomination
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This is an expository paper on the helicoidal method, a tool designed for proving multiple vector-valued inequalities for operators in harmonic analysis, which is based on stopping times and localizations. As it turns out, the local estimate can be used for proving sparse domination for the scalar operator and its multiple vector-valued extensions, and hence also weighted estimates.

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