Geodesic
On the regularity of bilinear maximal operator
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 277-295 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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

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