Pseudodifferential Operators on Local Hardy Spaces
✍ Scribed by J. Hounie; Rafael Augusto dos Santos Kapp
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2008
- Tongue
- English
- Weight
- 496 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1069-5869
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We establish a connection between certain classes of pseudodifferential operators and Hille᎐Tamarkin operators. As an application, we find the conditions that guarantee compactness and summability of the eigenvalues of pseudodifferential operators acting on the modulation spaces M p, p .
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