Boundedness of the bilinear Bochner-Riesz Means in the non-Banach triangle case

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In this article, we investigate the boundedness of the bilinear Bochner-Riesz means Sα in the non-Banach triangle case. We improve the corresponding results in [Bern] in two aspects: Our partition of the non-Banach triangle is simpler and we obtain lower smoothness indices α(p₁,p₂) for various cases apart from 1 ≤ p₁=p₂ <2.