Regularity of one-sided multilinear fractional maximal functions
The authors introduce the so-called one-sided multilinear fractional maximal operators, which are extensions of the one-sided Hardy-Littlewood maximal operators (which can be seen as the special case of the ergodic maximal operator). The investigations of regularity properties of one-sided maximal operators began with \textit{H. Tanaka} [Bull. Aust. Math. Soc. 65, No. 2, 253--258 (2002; Zbl 0999.42013)], and further by \textit{F. Liu} and \textit{S. Mao} [Czech. Math. J. 67, No. 1, 219--234 (2017; Zbl 1458.42016)] as well as \textit{F. Liu} [Math. Slovaca 68, No. 5, 1097--1112 (2018; Zbl 1505.42024)]. The authors extend the earlier results to the multilinear case. The results are, however too complicated to be stated here.
one-sided multilinear fractional maximal operators
scientific article; zbMATH DE number 7045530
scientific article