Endpoint bounds for an analytic family of Hilbert transforms

DOI10.1215/S0012-7094-91-06202-2zbMath0778.46032OpenAlexW1487413495MaRDI QIDQ1174572

Loukas Grafakos

Publication date: 25 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06202-2

zbMATH Keywords

interpolationconvolution operatorsCalderón-Zygmund theory\(L^ p\) boundednesscurvature in harmonic analysisFourier transform of compactly supported surface distributionssingular integrals along submanifolds

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) (H^p)-spaces (42B30)

Related Items (8)

Strong Type Endpoint Bounds for Analytic Families of Fractional Integrals ⋮ Weak Type Estimates for a Singular Convolution Operator on the Heisenberg Group ⋮ Sharp endpoint estimates for Schrödinger groups on Hardy spaces ⋮ \(L^{p}\) Sobolev regularity of averaging operators over hypersurfaces and the Newton polyhedron ⋮ Smooth and singular maximal averages over 2D hypersurfaces and associated Radon transforms ⋮ \(L^p\) Sobolev regularity for a class of Radon and Radon-like transforms of various codimension ⋮ Bayesian analysis of the multivariate poisson distribution ⋮ \(L^ p\) regularity for the wave equation with strictly convex obstacles

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