Improved bound for the bilinear Bochner-Riesz operator

Eunhee Jeong, Sanghyuk Lee, Ana Vargas

We study $L^p\times L^q\to L^r$ bounds for the bilinear Bochner-Riesz operator ${\mathcal{B}}^{\alpha }$, $\alpha >0$ in ${\mathbb{R}}^d,$ $d\ge 2$, which is defined by \[ {\mathcal B}^α(f,g)=\iint_{…