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

摘要

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 Calderón-Zygmund analysis introduced in [10]. We set a definition of general multi-frequency Calderón-Zygmund operators. Unweighted estimates are obtained using the corresponding multi-frequency decomposition of [10]. Involving a new kind of maximal sharp function, weighted estimates are obtained.