On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
β Scribed by H.O Cordes
- Book ID
- 107794742
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 819 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0022-1236
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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.