  The classical Hausdorff-Young inequalities for the Fourier transform acting
between appropriate $L_p$ spaces are cornerstones of Fourier analysis. Here we
extend it to weighted spaces of Besov or Sobolev type where the weight has the
form $w(x)=(1+|x|^2)^{\alpha/2}$. This note is not a paper or draft but a
sketchy complement to some earlier results where we dealt with mapping
properties of the Fourier transform.
