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arxiv: 1211.5218 · v2 · pith:A4NGXIRZnew · submitted 2012-11-22 · 🧮 math.CA

Multi-frequency Calderon-Zygmund analysis and connexion to Bochner-Riesz multipliers

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keywords multi-frequencycalderon-zygmundanalysisestimatesobtainedbochner-rieszconferenceconnexion
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In this work, we describe several results exhibited during a talk at the El Escorial 2012 conference. We aim to pursue the development of a multi-frequency Calderon-Zygmund analysis introduced in [9]. We set a definition of general multi-frequency Calderon-Zygmund operator. Unweighted estimates are obtained using the corresponding multi-frequency decomposition of [9]. Involving a new kind of maximal sharp function, weighted estimates are obtained.

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