Czechoslovak Mathematical Journal, Vol. 73, No. 1, pp. 277-295, 2023
On the regularity of bilinear maximal operator
Feng Liu, Guoru Wang
Received April 7, 2022. Published online December 3, 2022.
Abstract: We study the regularity properties of bilinear maximal operator. Some new bounds and continuity for the above operators are established on the Sobolev spaces, Triebel-Lizorkin spaces and Besov spaces. In addition, the quasicontinuity and approximate differentiability of the bilinear maximal function are also obtained.
Affiliations: Feng Liu (corresponding author), Guoru Wang, College of Mathematics and System Science, Shandong University of Science and Technology, 579 Qianwangang Road, Qingdao, Shandong 266590, P. R. China, e-mail: liufeng860314@163.com, grwang2020@163.com