Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7360
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
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