Mathematics – Classical Analysis and ODEs
Scientific paper
2009-04-08
Mathematics
Classical Analysis and ODEs
28 pages, 0 figures
Scientific paper
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.
Demeter Ciprian
Pramanik Malabika
Thiele Christoph
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