摘要 : In this paper, we explore the endpoint Sobolev regularity of the fractional maximal operators in the multilinear setting. Some new bounds and continuity for the derivatives of the multilinear fractional maximal functions are estab... 展开 In this paper, we explore the endpoint Sobolev regularity of the fractional maximal operators in the multilinear setting. Some new bounds and continuity for the derivatives of the multilinear fractional maximal functions are established, both in the centered and in the uncentered cases. (c) 2022 Elsevier Masson SAS. All rights reserved. 收起