Relations between bilinear multipliers on \mathbb Rⁿ, \mathbbTⁿ and ℤⁿ

2009/03/24 by Debashish Bose, Shobha Madan, Bose, Debashish +5
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #math.CA #math.FA #msc:42A45 #msc:42B15

paper · pdf · doi:10.48550/arxiv.0903.4052

13 pages

arxiv created 2009/03/24 · arxiv updated 2009/12/01

Abstract

In this paper we prove the bilinear analogue of de Leeuw's result for periodic bilinear multipliers and some Jodeit type extension results for bilinear multipliers.

Related

• Approaching bilinear multipliers via a functional calculus
• The Marcinkiewicz multiplier condition for bilinear operators
• Notes on the spaces of bilinear multipliers
• Some endpoint estimates for bilinear Coifman-Meyer multipliers
• On some bilinear Fourier multipliers with oscillating factors, I