Notes on the spaces of bilinear multipliers
| dc.creator | Blasco, Oscar | |
| dc.date | 2009-05-26 | |
| dc.date.accessioned | 2026-07-07T13:18:12Z | |
| dc.date.available | 2026-07-07T13:18:12Z | |
| dc.description | A locally integrable function $m(ξ,η)$ defined on $\mathbb R^n\times \mathbb R^n$ is said to be a bilinear multiplier on $\mathbb R^n$ of type $(p_1,p_2, p_3)$ if $$ B_m(f,g)(x)=\int_{\mathbb R^n} \int_{\mathbb R^n}\hat f(ξ)\hat g(η)m(ξ,η)e^{2πi(<ξ+η,x>} dξdη$$ defines a bounded bilinear operator from $L^{p_1}(\mathbb R^n)\times L^{p_2}(\mathbb R^n) $ to $L^{p_3}(\mathbb R^n)$. The study of the basic properties of such spaces is investigated and several methods of constructing examples of bilinear multipliers are provided. The special case where $m(ξ,η)= M(ξ-η)$ for a given $M$ defined on $\mathbb R^n$ is also addressed. | |
| dc.description | 13 pages, Notes on the course given in La Falda (Argentina)2008 | |
| dc.identifier | https://arxiv.org/abs/0905.4151 | |
| dc.identifier | http://arxiv.org/abs/0905.4151 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231354 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Notes on the spaces of bilinear multipliers | |
| dc.type | text |