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Power-type cancellation for the simplex Hilbert transform
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Power-type cancellation for the simplex Hilbert transform
classification
math.CA
keywords
hilbertsimplextransformboundscancellationgrowlesslogarithmic
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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.
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