Uniform estimates on multi-linear operators with modulation symmetry |
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Authors: | Camil Muscalu Terence Tao Christoph Thiele |
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Affiliation: | (1) Department of Mathematics, UCLA, 90095-1555 Los Angeles, CA, USA |
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Abstract: | In a previous paper [20] in this series, we gaveL p estimates for multi-linear operators given by multipliers which are singular on a non-degenerate subspace of some dimensionk. In this paper, we give uniform estimates when the subspace approaches a degenerate region in the casek = 1, and when all the exponentsp are between 2 and ∞. In particular, we recover the non-endpoint uniform estimates for the bilinear Hubert transform in [12]. Dedicated to Tom Wolff |
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