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
β¦ LIBER β¦
Boundedness of paraproduct operators on RD-spaces
β Scribed by Loukas Grafakos; LiGuang Liu; DaChun Yang
- Book ID
- 107348275
- Publisher
- SP Science China Press
- Year
- 2010
- Tongue
- English
- Weight
- 313 KB
- Volume
- 53
- Category
- Article
- ISSN
- 1674-7283
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## 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.
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