• On Weighted Fourier InequalitieS –– Some New Scales of Equivalent Conditions 

      Kufner, Alois; Persson, Lars-Erik; Samko, Natasha G. (Journal article; Tidsskriftartikkel; Peer reviewed, 2021-06)
      For Lebesgue spaces on R<sup>n</sup>, we study two-weight p → q-inequalities for Fourier transform. Some sufficient conditions on weights for such inequalities are known for special ranges of parameters p and q. In the same ranges of parameters we show, that in every case each of those conditions can be replaced by infinitely many conditions, even by continuous scales of conditions. We also ...