Oscillatory hyper-Hilbert transform along curves on modulation spaces

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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