Issue |
Math. Model. Nat. Phenom.
Volume 8, Number 1, 2013
Harmonic analysis
|
|
---|---|---|
Page(s) | 175 - 192 | |
DOI | https://doi.org/10.1051/mmnp/20138113 | |
Published online | 28 January 2013 |
Boundedness of Pseudo-Differential Operators on Lp, Sobolev and Modulation Spaces
1 Department of Mathematics and
Statistics, Queen’s University, Kingston, Ontario
K7L3N6,
Canada
2
School of Engineering and Science, Jacobs
University, 28759
Bremen,
Germany
∗ Corresponding author. E-mail: molahajloo@mast.queensu.ca
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.
Mathematics Subject Classification: 47G30 / 42B35 / 35S05 / 46E35
Key words: pseudo-differential operators / modulation spaces / Sobolev spaces / short–time Fourier transforms
© EDP Sciences, 2013
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.