Bilinear multipliers and transference
Copyright policy )Bilinear multipliers and transference
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 Lp‐spaces.
- University of Valencia Spain
Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, QA1-939, restriction theorems, Fourier bilinear multipliers, transference, Multipliers for harmonic analysis in several variables, Multipliers in one variable harmonic analysis, Mathematics
Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, QA1-939, restriction theorems, Fourier bilinear multipliers, transference, Multipliers for harmonic analysis in several variables, Multipliers in one variable harmonic analysis, Mathematics
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