On the regularity of bilinear maximal operator

Liu, Feng ; Wang, Guoru

Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 277-295

Abstract (VO)

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.

Détail

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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