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Young Women in Harmonic Analysis and PDE

December 2-4, 2016

Teresa Luque (Departamento de Análisis Matemático, Universidad Complutense de Madrid)

The Bochner Riesz multiplier: a sparse approach

We establish a control for the Bochner Riesz multipliers by sparse bilinear forms. Since for such operators the pointwise domination by sparse operators is not possible because of their range of boundedness, we use this other control. To obtain this result we combine the recent ideas developed by Lacey and extended by Bernicot-Frey-Petermichl. This is a joint work with Cristina Benea and Frédéric Bernicot.