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Nielsen, Morten 2012. On Transference of Multipliers on Matrix Weighted L p -Spaces. Journal of Geometric Analysis, Vol. 22, Issue. 1, p. 12.
Villarroya, Paco 2011. On boundedness of discrete multilinear singular integral operators. Journal of Mathematical Analysis and Applications, Vol. 382, Issue. 2, p. 534.
We present some transference results for a convolution operator with kernel $K$ which is bounded from $L^{p_0}(w_0)$ into $L^{p_1}(w_1)$. Our results are a natural extension of the classical results of Coifman and Weiss and their further extensions. We shall give several applications in the setting of restriction of Fourier multipliers.
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