Transference of vector-valued multipliers on weighted $L^p$-spaces
Printed: Jun 2013
Oscar Blasco de la Cruz,
Paco Villarroya Alvarez,
restriction and extension of multipliers between
weighted Lebesgue spaces with
two different weights, which belong to a class more general than periodic weights, and two different exponents of integrability which can be
We also develop some ad-hoc methods which apply to weights
defined by the product of periodic weights with functions of power type.
Our vector-valued approach allow us to extend results
to transference of maximal multipliers and provide transference of Littlewood-Paley inequalities.
Fourier multipliers, restriction theorems, weighted spaces
42B15 - Multipliers
42B35 - Function spaces arising in harmonic analysis