Power-type cancellation for the simplex Hilbert transform

Abstract

We prove ${\mathrm{L}}^p$ bounds for the truncated simplex Hilbert transform which grow with a power less than one of the truncation range in the logarithmic scale.

11 pages, 3 figures; v2: minor corrections, accepted for publication in J. Anal. Math

References in corpus (1)

• Norm-variation of ergodic averages with respect to two commuting transformations

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