On relative boundedness in operator spaces
β Scribed by Chebotarev, Alexander; Liebscher, Volkmar
- Book ID
- 123037473
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 375 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0034-4877
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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.