Blar i forfatter "Kufner, Alois"

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    • 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 ...

    • Some Higher Order Hardy Inequalities 

      Kufner, Alois; Kuliev, Komil; Persson, Lars Erik (Journal article; Tidsskriftartikkel; Peer reviewed, 2012-03-26)
      We investigate the k-th order Hardy inequality (1.1) for functions satisfying rather general boundary conditions (1.2), show which of these conditions are admissible and derive sufficient, and necessary and sufficient, conditions (for 0 < q < ∞, p > 1) on u, v for (1.1) to hold.