Title: Regularity and continuity of the multilinear strong maximal operators
Speaker: Qingying Xue
Affiliation: Beijing Normal University
Time: 2018-10-15 16:00-17:00
Venue: Room 201 Lecture Hall
abstract:As is well known, linear strong maximal function can be traced back to the famous work of Jessen, Marcinkiewicz and Zygmund (1935, Fund. Math.). They pointed out that unlike the classical Hardy-Littlewood maximal operator, the strong maximal function is not of weak type (1,1). Since then, many works had been done. In 2011, Grafakos et al defined and considered the boundedness of multilinear strong maximal functions (2011, J. Geom. Anal.). This talk will be focused on the regularity and continuity of multilinear strong maximal operators on several function spaces.