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Boundedness for Multilinear Operators of Pseudo-Differential Operators
Key Laboratory of Hunan Province for Statistical Learning and Intelligent Computation, Hunan University of Technology and Business, Changsha, China
School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha, China
School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha, China
School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha, China
School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha, China
- 1 Key Laboratory of Hunan Province for Statistical Learning and Intelligent Computation, Hunan University of Technology and Business, Changsha, China
- 2 School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha, China
- 3 School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha, China
- 4 School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha, China
- 5 School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha, China
Advances in Pure Mathematics·Volume 13 (2023)·Pages 449–462·Published 12 July 2023·DOI10.4236/apm.2023.137029
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Abstract
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.
KeywordsMultilinear OperatorPseudo-Differential OperatorSharp Function EstimateBMO
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