Improved curvature conditions on L2 x ⋯ x L2 → L2/m bounds for multilinear maximal averages

In this article, we focus on L-2(R-d)x & ctdot;xL(2)(R-d)-> L-2/m(R-d) estimates for multilinear maximal averages over non-degenerate hypersurfaces. Our findings is new for m-linear averages with m >= 3, and represent a reproof of the recent result of T. Borges, B. Foster, and Y. Ou on the curvature conditions of the hypersurfaces required in establishing L-2(R-d)xL(2)(R-d)-> L-1(R-d) estimates of bilinear maximal functions.(c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.