Abstract
We consider a periodic matrix weight W defined on ℝd and taking values in the N×N positive-definite matrices. For such weights, we prove transference results between multiplier operators on Lp(ℝd;W) and \(L_{p}(\mathbb {T}^{d};W)\), 1<p<∞, respectively. As a specific application, we study transference results for homogeneous multipliers of degree zero.
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