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Title: | Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type |
Authors: | Toft, Joachim BHIMANI, DIVYANG G. Manna, Ramesh Dept. of Mathematics |
Keywords: | Modulation spaces Gelfand-Shilov spaces Wiener amalgam spaces Trace map Amplitude Pseudo-differential operators 2022-SEP-WEEK1 TOC-SEP-2022 2023 |
Issue Date: | Mar-2023 |
Publisher: | World Scientific Publishing Co Pte Ltd. |
Citation: | Analysis and Applications, 21, (02), 453-495. |
Abstract: | We deduce trace properties for modulation spaces (including certain Wiener-amalgam spaces) of Gelfand-Shilov distributions.We use these results to show that psi dos with amplitudes in suitable modulation spaces, agree with normal type psi dos whose symbols belong to (other) modulation spaces. In particular we extend earlier trace results for modulation spaces, to include quasi-Banach modulation spaces. We also apply our results to extend earlier results on Schatten-von Neumann and nuclear properties for psi dos with amplitudes in modulation spaces. |
URI: | https://doi.org/10.1142/S0219530522500063 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7360 |
ISSN: | 0219-5305 1793-6861 |
Appears in Collections: | JOURNAL ARTICLES |
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