\(L^ p\)-estimates for operators associated to oscillating plane curves
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Publication:1196402
DOI10.1215/S0012-7094-92-06705-6zbMath0766.42010MaRDI QIDQ1196402
Publication date: 14 December 1992
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15)
Related Items (9)
Maximal functions along convex curves with lacunary directions ⋮ Estimates for Hilbert transforms along variable general curves ⋮ Hilbert transforms along double variable fractional monomials ⋮ Restriction of the Fourier transform to some oscillating curves ⋮ \(L^p\) estimates for rough singular integrals associated to some hypersurfaces ⋮ \(L^2\) 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
Cites Work
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- Hilbert transforms for convex curves
- Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods
- Maximal and singular integral operators via Fourier transform estimates
- Maximal functions for convex curves
- Hilbert transforms along curves. II: A flat case
- 𝐿^{𝑝} estimates for maximal functions and Hilbert transforms along flat convex curves in 𝐑²
- The Hilbert Transform and Maximal Function for Approximately Homogeneous Curves
- On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis
- Differentiation in lacunary directions
- Problems in harmonic analysis related to curvature
- Some Maximal Inequalities
- Notes on the Theory of Series (XX): On Lambert Series
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