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.
Keywords:  bilinear maximal operator; Triebel-Lizorkin space; Besov space; Lipschitz space; $p$-quaiscontinuous; approximate differentiability
Classification MSC:  42B25, 46E35


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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


 
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