Bilinear multipliers and transference

Oscar Blasco

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-10

Abstract:

We give de Leeuw-type transference theorems for bilinear multipliers. In particular, it is shown that bilinear multipliers arising from regulated functions m ( ξ , η ) in ℝ × ℝ can be transferred to bilinear multipliers acting on 𝕋 × 𝕋 and ℤ × ℤ . The results follow from the description of bilinear multipliers on the discrete real line acting on L p -spaces.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:186570

DOI: 10.1155/IJMMS.2005.545

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