On the Multilinear Fractional Transforms
Keyword(s):
In this paper we first introduce multilinear fractional wavelet transform on Rn×R+n using Schwartz functions, i.e., infinitely differentiable complex-valued functions, rapidly decreasing at infinity. We also give multilinear fractional Fourier transform and prove the Hausdorff–Young inequality and Paley-type inequality. We then study boundedness of the multilinear fractional wavelet transform on Lebesgue spaces and Lorentz spaces.
2018 ◽
Vol 85
(3-4)
◽
pp. 377
2017 ◽
Vol 15
(05)
◽
pp. 1750050
◽
2015 ◽
Vol 111
(3)
◽
pp. 22-27
2014 ◽
Vol 259
◽
pp. 660-671
◽
2014 ◽
Vol 57
◽
pp. 343-349
◽
Keyword(s):