Multilinear singular operators with fractional rank

2009/04/08 by Ciprian Demeter, Malabika Pramanik, Demeter, Ciprian +3
Engineering · Mathematics · #42B20 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Approximation and Integration #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.0904.1253

openalex publication_date 2009/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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