Boundedness Properties of Pseudo-Differential and Calderón-Zygmund Operators on Modulation Spaces
✍ Scribed by Mitsuru Sugimoto; Naohito Tomita
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2008
- Tongue
- English
- Weight
- 458 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1069-5869
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📜 SIMILAR VOLUMES
## Abstract An elementary straightforward proof for the boundedness of pseudo ‐ differential operators of the Hörmander class Ψ^μ^~I,δ~ on weighted Besov ‐ Triebel spaces is given using a discrete characterization of function spaces.
## Abstract We give a characterization of __d__‐dimensional modulation spaces with moderate weights by means of the __d__‐dimensional Wilson basis. As an application we prove that pseudodifferential operators with generalized Weyl symbols are bounded on these modulation spaces.
The paper deals with function spaces F>,?(R", a ) and P;X(Rn, a ) defined on the EucLIDean n-space R". These spaces will be defined on the basis of function spaces of BESOV-HARDY-SOBOLEV type F;,(Rn) and B:,JRn) -see-[25], and by appropriate pseudo-differential operators A(x, 0,). We get scales of s