Bilinear Localization Operators on Modulation Spaces
We introduce a class of bilinear localization operators and show how to interpret them as bilinear Weyl pseudodifferential operators. Such interpretation is well known in linear case whereas in bilinear case it has not been considered so far. Then we study continuity properties of both bilinear Weyl...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/7560870 |
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| _version_ | 1832559456000409600 |
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| author | Nenad Teofanov |
| author_facet | Nenad Teofanov |
| author_sort | Nenad Teofanov |
| collection | DOAJ |
| description | We introduce a class of bilinear localization operators and show how to interpret them as bilinear Weyl pseudodifferential operators. Such interpretation is well known in linear case whereas in bilinear case it has not been considered so far. Then we study continuity properties of both bilinear Weyl pseudodifferential operators and bilinear localization operators which are formulated in terms of a modified version of modulation spaces. |
| format | Article |
| id | doaj-art-e57a2edcbbc34e7f821e0d8e4314a355 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e57a2edcbbc34e7f821e0d8e4314a3552025-02-03T01:30:05ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/75608707560870Bilinear Localization Operators on Modulation SpacesNenad Teofanov0Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, SerbiaWe introduce a class of bilinear localization operators and show how to interpret them as bilinear Weyl pseudodifferential operators. Such interpretation is well known in linear case whereas in bilinear case it has not been considered so far. Then we study continuity properties of both bilinear Weyl pseudodifferential operators and bilinear localization operators which are formulated in terms of a modified version of modulation spaces.http://dx.doi.org/10.1155/2018/7560870 |
| spellingShingle | Nenad Teofanov Bilinear Localization Operators on Modulation Spaces Journal of Function Spaces |
| title | Bilinear Localization Operators on Modulation Spaces |
| title_full | Bilinear Localization Operators on Modulation Spaces |
| title_fullStr | Bilinear Localization Operators on Modulation Spaces |
| title_full_unstemmed | Bilinear Localization Operators on Modulation Spaces |
| title_short | Bilinear Localization Operators on Modulation Spaces |
| title_sort | bilinear localization operators on modulation spaces |
| url | http://dx.doi.org/10.1155/2018/7560870 |
| work_keys_str_mv | AT nenadteofanov bilinearlocalizationoperatorsonmodulationspaces |