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Oscillatory hyper-Hilbert transform along curves on modulation spaces

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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… Click to show full 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: modulation; modulation spaces; transform along; hyper hilbert; hilbert transform; oscillatory hyper

Journal Title: Frontiers of Mathematics in China
Year Published: 2018

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