Abstract
We establish improved Lp estimates for the maximal bilinear Bochner-Riesz means in all dimensions n≥1. This work extends the results proved by Jeong and Lee [11]. We also recover the known results for the bilinear Bochner-Riesz means. The method of proof involves a new decomposition of the bilinear Bochner-Riesz multiplier (1−|ξ|2−|η|2)+α and delicate analysis in proving Lp estimates for frequency localised square functions.
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