Boundedness of Oscillatory Hyper-Hilbert Transform along Curves on Sobolev Spaces
The oscillatory hyper-Hilbert transform along curves is of the following form: Hn,α,βf(x)=∫01f(x-Γ(t))eit-βt-1-αdt, where α≥0, β≥0, and Γ(t)=(tp1,tp2,…,tpn). The study on this operator is motivated by the hyper-Hilbert transform and the strongly singular integrals. The Lp bounds for Hn,α,β have be...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/489068 |
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