Geodesic
On the regularity of bilinear maximal operator
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 277-295.

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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.
DOI : 10.21136/CMJ.2022.0153-22
Classification : 42B25, 46E35
Keywords: bilinear maximal operator; Triebel-Lizorkin space; Besov space; Lipschitz space; $p$-quaiscontinuous; approximate differentiability 
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Liu, Feng; Wang, Guoru. On the regularity of bilinear maximal operator. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 277-295. doi : 10.21136/CMJ.2022.0153-22. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0153-22/

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