Multilinear Pseudo-differential Operators with S0,0 Class Symbols of Limited Smoothness
Abstract
We consider the boundedness of the multilinear pseudo-differential operators with symbols in the multilinear Hörmander class S0,0. The aim of this paper is to discuss smoothness conditions for symbols to assure the boundedness between local Hardy spaces.
- Publication:
-
Journal of Fourier Analysis and Applications
- Pub Date:
- August 2023
- DOI:
- arXiv:
- arXiv:2206.09332
- Bibcode:
- 2023JFAA...29...40K
- Keywords:
-
- Multilinear pseudo-differential operators;
- Multilinear Hörmander symbol classes;
- Local Hardy spaces;
- Wiener amalgam spaces;
- 35S05;
- 42B15;
- 42B35;
- Mathematics - Classical Analysis and ODEs;
- 35S05;
- 42B15;
- 42B35
- E-Print:
- 22 pages