Sparse bilinear forms for Bochner Riesz multipliers and applications

Cristina Benea (1, 2) , Frederic Bernicot (1, 2) , Teresa Luque (1, 2)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 Equations aux dérivées partielles

We use the very recent approach developed by Lacey in [23] and extended by Bernicot-Frey-Petermichl in [3], in order to control Bochner-Riesz operators by a sparse bilinear form. In this way, new quantitative weighted estimates, as well as vector-valued inequalities are deduced.

Mots clés: Bochner-Riesz multipliers; weighted estimates; Sparse operators

Domaines: Analyse classique [math.CA]

Cristina Benea, Frederic Bernicot, Teresa Luque. Sparse bilinear forms for Bochner Riesz multipliers and applications. 2016. ⟨hal-01319301⟩