The $L^2$-Boundedness of Pseudodifferential Operators
β Scribed by I. L. Hwang
- Book ID
- 125693228
- Publisher
- American Mathematical Society
- Year
- 1987
- Tongue
- English
- Weight
- 452 KB
- Volume
- 302
- Category
- Article
- ISSN
- 0002-9947
- DOI
- 10.2307/2000896
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study classes of pseudodifferential operators which are bounded on large collections of modulation spaces. The conditions on the operators are stated in terms of the L p,q estimates for the continuous Gabor transforms of their symbols. In particular, we show how these classes are related to the c
## Abstract We give a characterization of __d__βdimensional modulation spaces with moderate weights by means of the __d__βdimensional Wilson basis. As an application we prove that pseudodifferential operators with generalized Weyl symbols are bounded on these modulation spaces.