|DATE||September 19 (Wed), 2018|
|TITLE||Bounds for the bilinear Bochner-Riesz operator|
The bilinear Bochner-Riesz operator is a bilinear multiplier operator related to convergence of the Fourier series. In this talk, we are concerned with boundedness of the bilinear Bochner-Riesz operator on Lebesgue spaces. Especially, we focus on our recent result for the bilinear operator, which is a joint work with Sanghyuk Lee and Ana Vargas. We make use of a decomposition which relates the estimate for the bilinear Bochner-Riesz operator to those of the square function for the classical Bochner-Riesz operator.