Characterization of boundedness on Wiener amalgam spaces of multilinear Rihaczek distributions
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929528308236288 |
|---|---|
| author | Guo, Weichao Zhao, Guoping |
| author_facet | Guo, Weichao Zhao, Guoping |
| contents | In this paper, we give several characterizations for the boundedness of multilinear Rihaczek distributions acting from Wiener amalgam spaces to modulation and Fourier modulation spaces. Moreover, we establish the crucial self-improvement property which has its independent significance. As applications, sharp exponents are established for the boundedness in several typical cases. Correspondingly, the boundedness of pseudodifferential operators on Wiener amalgam spaces with symbols in modulation and Fourier modulation spaces are also established. In some typical cases, we also give the sharp exponents for the boundedness of pseudodifferential operators, including the recapture and essential extensions of the main results in \cite[IMRN, (10):1860-1893, (2010)]{CorderoNicola2010IMRNI} and \cite[JFAA, 23(4):810-816, (2017)]{Cunanan2017JoFAaA}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_06434 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Characterization of boundedness on Wiener amalgam spaces of multilinear Rihaczek distributions Guo, Weichao Zhao, Guoping Functional Analysis Classical Analysis and ODEs 47G30, 42B35, 35S99 In this paper, we give several characterizations for the boundedness of multilinear Rihaczek distributions acting from Wiener amalgam spaces to modulation and Fourier modulation spaces. Moreover, we establish the crucial self-improvement property which has its independent significance. As applications, sharp exponents are established for the boundedness in several typical cases. Correspondingly, the boundedness of pseudodifferential operators on Wiener amalgam spaces with symbols in modulation and Fourier modulation spaces are also established. In some typical cases, we also give the sharp exponents for the boundedness of pseudodifferential operators, including the recapture and essential extensions of the main results in \cite[IMRN, (10):1860-1893, (2010)]{CorderoNicola2010IMRNI} and \cite[JFAA, 23(4):810-816, (2017)]{Cunanan2017JoFAaA}. |
| title | Characterization of boundedness on Wiener amalgam spaces of multilinear Rihaczek distributions |
| topic | Functional Analysis Classical Analysis and ODEs 47G30, 42B35, 35S99 |
| url | https://arxiv.org/abs/2201.06434 |