Multilinear singular operators with fractional rank

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We prove bounds for multilinear operators on $\R^d$ given by multipliers which are singular along a $k$ dimensional subspace. The new case of interest is when the rank $k/d$ is not an integer. Connections with the concept of {\em true complexity} from Additive Combinatorics are also investigated.
28 pages, 0 figures

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Classical Analysis and ODEs, Combinatorics, 42B20

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http://salesiana.dossiersoluciones.com/handle/123456789/226216

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.1253
 http://arxiv.org/abs/0904.1253

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arXiv