$L^p$ estimates for multilinear maximal Bochner--Riesz means and square function

In this article we have investigated $L^p$ boundedness of the multilinear maximal Bochner–Riesz means and the corresponding square function. We have exploited the ideas given in the paper “Maximal estimates for bilinear Bochner–Riesz means” (Adv. Math. 395(2022) 108100) by Jotsaroop and Shrivastava, in order to prove our results.