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Oscillatory hyper-Hilbert transform along curves on modulation spaces

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Published in 2018 at "Frontiers of Mathematics in China"

DOI: 10.1007/s11464-018-0688-x

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. read more here.

Keywords: modulation; modulation spaces; transform along; hyper hilbert ... See more keywords