A sharp estimate for the Hilbert transform along finite order lacunary sets of directions
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Publication:1617904
DOI10.1007/s11856-018-1724-yzbMath1403.30013arXiv1704.02918OpenAlexW2963097324MaRDI QIDQ1617904
Publication date: 13 November 2018
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.02918
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special integral transforms (Legendre, Hilbert, etc.) (44A15)
Related Items
\(L^2\) bounds for a maximal directional Hilbert transform ⋮ A maximal function for families of Hilbert transforms Along homogeneous curves ⋮ Paraproducts for bilinear multipliers associated with convex sets ⋮ Singular integrals along lacunary directions in \(\mathbb{R}^n\) ⋮ Almost-orthogonality principles for certain directional maximal functions ⋮ On logarithmic bounds of maximal sparse operators ⋮ Maximal directional operators along algebraic varieties
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