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1. CJM 2012 (vol 65 pp. 510)
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Transference of vector-valued multipliers on weighted $L^p$-spaces We prove
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
below one.
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.
Keywords:Fourier multipliers, restriction theorems, weighted spaces Categories:42B15, 42B35 |
2. CJM 2012 (vol 65 pp. 299)
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On Multilinear Fourier Multipliers of Limited Smoothness In this paper,
we prove certain $L^2$-estimate
for multilinear Fourier multiplier operators
with multipliers of limited smoothness.
As a result,
we extend the result of Calderón and Torchinsky
in the linear theory to the multilinear case.
The sharpness of our results and some
related estimates in Hardy spaces
are also discussed.
Keywords:multilinear Fourier multipliers, Hörmander multiplier theorem, Hardy spaces Categories:42B15, 42B20 |
3. CJM 1998 (vol 50 pp. 897)
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Fourier multipliers for local hardy spaces on Chébli-Trimèche hypergroups In this paper we consider Fourier multipliers on local
Hardy spaces $\qin$ $(0
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