Wiener amalgam 空间上多线性 Rihaczek 分布有界性的刻画
Characterization of boundedness on Wiener amalgam spaces of multilinear Rihaczek distributions
AI总结：
本文刻画了多线性 Rihaczek 分布在 Wiener amalgam 空间到调制及 Fourier 调制空间上的有界性，建立自提升性质并给出典型情形的精确指数，同时推广了相应伪微分算子的有界性结果。
摘要：
本文给出了多线性 Rihaczek 分布从 Wiener amalgam 空间到调制空间和 Fourier 调制空间有界性的若干刻画。此外，我们建立了具有独立意义的关键自提升性质。作为应用，在若干典型情形下建立了有界性的精确指数。相应地，也建立了符号属于调制空间和 Fourier 调制空间的伪微分算子在 Wiener amalgam 空间上的有界性。在某些典型情形下，我们还给出了伪微分算子有界性的精确指数，包括对文献 [IMRN, (10):1860-1893, (2010)]{CorderoNicola2010IMRNI} 和 [JFAA, 23(4):810-816, (2017)]{Cunanan2017JoFAaA} 中主要结果的重新获得与本质推广。
英文摘要：
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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