On the boundedness of the bilinear Hilbert transform along ``non-flat smooth curves. The Banach triangle case \((L^r, 1 \leq r < \infty)\)
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Publication:1709563
DOI10.4171/RMI/987zbMath1395.42009arXiv1512.09356MaRDI QIDQ1709563
Publication date: 5 April 2018
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.09356
Related Items (9)
Trilinear smoothing inequalities and a variant of the triangular Hilbert transform ⋮ Bilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves ⋮ Pointwise ergodic theorems for non-conventional bilinear polynomial averages ⋮ The boundedness of the (sub)bilinear maximal function along ``non-flat smooth curves ⋮ A unified approach to three themes in harmonic analysis. I \& II: I. The linear Hilbert transform and maximal operator along variable curves. II Carleson type operators in the presence of curvature ⋮ Paraproducts for bilinear multipliers associated with convex sets ⋮ A polynomial Roth theorem on the real line ⋮ A general nonlinear version of Roth's theorem on the real line ⋮ Full range boundedness of bilinear Hilbert transform along certain polynomials
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