Power-type cancellation for the simplex Hilbert transform

DOI10.1007/s11854-019-0052-4zbMath1433.42009arXiv1608.00156OpenAlexW3101066983WikidataQ127153916 ScholiaQ127153916MaRDI QIDQ2299467

Polona Durcik, Christoph Thiele, Vjekoslav Kovač

Publication date: 21 February 2020

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00156

zbMATH Keywords

\(\mathrm L^p\) bounds

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Multipliers for harmonic analysis in several variables (42B15)

Related Items (8)

Trilinear smoothing inequalities and a variant of the triangular Hilbert transform ⋮ A Szemerédi-type theorem for subsets of the unit cube ⋮ Density theorems for anisotropic point configurations ⋮ Singular Brascamp–Lieb inequalities with cubical structure ⋮ Averages of simplex Hilbert transforms ⋮ Boxes, extended boxes and sets of positive upper density in the Euclidean space ⋮ T(1) theorem for dyadic singular integral forms associated with hypergraphs ⋮ Singular Brascamp–Lieb: A Survey

Cites Work

• Cancellation for the multilinear Hilbert transform
• An \(\mathrm{L}^4\) estimate for a singular entangled quadrilinear form
• Cancellation for the simplex Hilbert transform
• Boundedness of the twisted paraproduct
• DYADIC TRIANGULAR HILBERT TRANSFORM OF TWO GENERAL FUNCTIONS AND ONE NOT TOO GENERAL FUNCTION
• Norm variation of ergodic averages with respect to two commuting transformations

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