Uniform Estimates on Multi-linear Operators with Modulation Symmetry
نویسندگان
چکیده
In a previous paper [20] in this series, we gave L estimates for multi-linear operators given by multipliers which are singular on a non-degenerate subspace of some dimension k. In this paper we give uniform estimates when the subspace approaches a degenerate region in the case k = 1, and when all the exponents p are between 2 and ∞. In particular we recover the non-endpoint uniform estimates for the Bilinear Hilbert transform in [12].
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