Author(s)

Jiasheng Zeng^1,2, Rongping Chen^1,2, Jiangang Liu^1,2, Xiaojing Wang^1,2, Chunsheng Liu^1,2

¹School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha, China.
²Key Laboratory of Hunan Province for Statistical Learning and Intelligent Computation, Hunan University of Technology and Business, Changsha, China.

In this paper, we establish a sharp function estimate for the multilinear integral operators associated to the pseudo-differential operators. As the application, we obtain the L^p (1 < p < ∞) norm inequalities for the multilinear operators.

Multilinear Operator, Pseudo-Differential Operator, Sharp Function Estimate, BMO

Zeng, J. , Chen, R. , Liu, J. , Wang, X. and Liu, C. (2023) Boundedness for Multilinear Operators of Pseudo-Differential Operators. Advances in Pure Mathematics, 13, 449-462. doi: 10.4236/apm.2023.137029.