Oscillatory hyper-Hilbert transform on Wiener amalgam spaces
We study the boundedness of the oscillatory integral Tα,βf(x,y)=∫Q2f(x−γ1(t),y−γ2(s))e−2πit−β1s−β2t−α1−1s−α2−1dtds{T}_{\alpha ,\beta }f\left(x,y)=\mathop{\int }\limits_{{Q}^{2}}f\left(x-{\gamma }_{1}\left(t),y-{\gamma }_{2}\left(s)){e}^{-2\pi i{t}^{-{\beta }_{1}}{s}^{-{\beta }_{2}}}{t}^{{-\alpha }_{...
| Published in: | Open Mathematics |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2021-12-01
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| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2021-0106 |