336 research outputs found
On radial Fourier multipliers and almost everywhere convergence
We study a.e. convergence on , and Lorentz spaces ,
, for variants of Riesz means at the critical index
. We derive more general results for
(quasi-)radial Fourier multipliers and associated maximal functions, acting on
spaces with power weights, and their interpolation spaces. We also
include a characterization of boundedness of such multiplier transformations on
weighted spaces, and a sharp endpoint bound for Stein's square-function
associated with the Riesz means
- β¦