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arXiv · 0904.1253

Multilinear singular operators with fractional rank

Ciprian Demeter·Malabika Pramanik·Christoph Thiele
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Abstract

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.

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Ciprian Demeter, Malabika Pramanik, Christoph Thiele. 2009-04-08. Multilinear singular operators with fractional rank. https://arxiv.org/abs/0904.1253

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