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Boundedness of Pseudo-Differential Operators on L p , Sobolev and Modulation Spaces

โœ Scribed by Molahajloo, S.; Pfander, G.E.; Damanik, David; Finkelshtein, Andrei Martinez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Man Wah

Book ID
120189190
Publisher
EDP Sciences
Year
2013
Tongue
English
Weight
259 KB
Volume
8
Category
Article
ISSN
0973-5348

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๐Ÿ“œ SIMILAR VOLUMES

On the Boundedness of Pseudo - Different
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## Abstract An elementary straightforward proof for the boundedness of pseudo โ€ differential operators of the Hรถrmander class ฮจ^ฮผ^~I,ฮด~ on weighted Besov โ€ Triebel spaces is given using a discrete characterization of function spaces.

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## Abstract We give a characterization of __d__โ€dimensional modulation spaces with moderate weights by means of the __d__โ€dimensional Wilson basis. As an application we prove that pseudodifferential operators with generalized Weyl symbols are bounded on these modulation spaces.