## 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.
Boundedness of Product Type Pseudodifferential Operators on Spaces of Besov Type
β Scribed by Masao Yamazaki
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 918 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
## Abstract An elementary straightforward proof for the boundedness of pseudo β differential operators of the HΓΆrmander class Ξ¨^ΞΌ^~I,Ξ΄~ on weighted Besov β Triebel spaces is given using a discrete characterization of function spaces.
## Abstract Let __A__~1~ and __A__~2~ be expansive dilations, respectively, on β^__n__^ and β^__m__^. Let __A__ β‘ (__A__~1~, __A__~2~) and π~__p__~(__A__) be the class of product Muckenhoupt weights on β^__n__^ Γ β^__m__^ for __p__ β (1, β]. When __p__ β (1, β) and __w__ β π~__p__~(__A__), the auth