A new way of looking at distributional estimates; application for the bilinear Hilbert transform

zbMath1112.42006MaRDI QIDQ854503

Loukas Grafakos, Dmitriy Bilyk

Publication date: 5 December 2006

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41787

zbMATH Keywords

bilinear Hilbert transformdistributional inequalityrestricted weak-type inequality

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Interpolation between normed linear spaces (46B70) Distributions, generalized functions, distribution spaces (46F99)

Related Items (4)

\(L^p\) estimates for non-smooth bilinear Littlewood-Paley square functions on \(\mathbb R\) ⋮ Endpoint bounds for the bilinear Hilbert transform ⋮ Full range boundedness of bilinear Hilbert transform along certain polynomials ⋮ Multilinear extrapolation and applications to the bilinear Hilbert transform

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