Geodesic
Boundedness of Pseudo-Differential Operators on Lp, Sobolev and Modulation Spaces
S. Molahajloo1 ; G.E. Pfander2
1 Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario K7L3N6, Canada
2 School of Engineering and Science, Jacobs University, 28759 Bremen, Germany
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 175-192.

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We introduce new classes of modulation spaces over phase space. By means of the Kohn-Nirenberg correspondence, these spaces induce norms on pseudo-differential operators that bound their operator norms on Lp–spaces, Sobolev spaces, and modulation spaces.
DOI : 10.1051/mmnp/20138113

S. Molahajloo 1 ; G.E. Pfander 2

1 Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario K7L3N6, Canada
2 School of Engineering and Science, Jacobs University, 28759 Bremen, Germany 
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S. Molahajloo; G.E. Pfander. Boundedness of Pseudo-Differential Operators on Lp, Sobolev and Modulation Spaces. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 175-192. doi : 10.1051/mmnp/20138113. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20138113/

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