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Oscillatory hyper-Hilbert transform along curves on modulation spaces |
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| Authors: | Xiaomei Wu Dashan Fan |
| Affiliation: | 1. Xingzhi College, Zhejiang Normal University, Jinhua 321004, China2. Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA |
| Abstract: | We consider the boundedness of the n-dimension oscillatory hyper-Hilbert transform along homogeneous curves on the α-modulation spaces, including the inhomogeneous Besov spaces and the classical modulation spaces. The main theorems signicantly improve some known results. |
| Keywords: | Oscillatory hyper-Hilbert transform inhomogeneous Besov spaces -modulation spaces homogeneous curves |
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