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arXiv · 1608.00156

Power-type cancellation for the simplex Hilbert transform

Polona Durcik·Vjekoslav Kovač·Christoph Thiele
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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.

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Polona Durcik, Vjekoslav Kovač, Christoph Thiele. 2016-12-11. Power-type cancellation for the simplex Hilbert transform. https://doi.org/10.1007/s11854-019-0052-4

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