The Fourier transform on Rearrangement-Invariant Spaces

Ron Kerman, Rama Rawat, Rajesh K. Singh

We study inequalities of the form \begin{equation*} ρ( \lvert \hat{f} \rvert) \leq C σ(f) < \infty, \end{equation*} with $f\in L_1({\mathbb{R}}^n)$, the Lebesgue-integrable functi…