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arXiv · 2201.06434

Characterization of boundedness on Wiener amalgam spaces of multilinear Rihaczek distributions

Weichao Guo·Guoping Zhao
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Abstract

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}.

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Weichao Guo, Guoping Zhao. 2022-01-17. Characterization of boundedness on Wiener amalgam spaces of multilinear Rihaczek distributions. https://arxiv.org/abs/2201.06434

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