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.
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The first author was supported partly by the National Natural Science Foundation of China (Grant No. 11701333).
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Liu, F., Wang, G. On the regularity of bilinear maximal operator. Czech Math J 73, 277–295 (2023). https://doi.org/10.21136/CMJ.2022.0153-22
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DOI: https://doi.org/10.21136/CMJ.2022.0153-22
Keywords
- bilinear maximal operator
- Triebel-Lizorkin space
- Besov space
- Lipschitz space
- p-quaiscontinuous
- approximate differentiability