The Hilbert transform and maximal function along nonconvex curves in the plane

DOI10.4171/RMI/146zbMath0810.42011MaRDI QIDQ1325214

James Wright, James Vance, Stephen Wainger

Publication date: 2 April 1995

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39459

zbMATH Keywords

Hilbert transformmaximal functionsnonconvex curves

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) (H^p)-spaces (42B30)

Related Items (10)

Classes of singular integrals along curves and surfaces ⋮ Maximal functions along convex curves with lacunary directions ⋮ Oscillatory hyper Hilbert transforms along general curves ⋮ Unnamed Item ⋮ Estimates for Hilbert transforms along variable general curves ⋮ Hilbert transforms along double variable fractional monomials ⋮ \(L^2\) boundedness of Hilbert transforms along variable flat curves ⋮ \(L^p\) boundedness of Carleson \& Hilbert transforms along plane curves with certain curvature constraints ⋮ $L^p$-boundedness for the Hilbert transform and maximal operator along a class of nonconvex curves ⋮ Unnamed Item

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