𝐿^{𝑝} estimates for maximal functions and Hilbert transforms along flat convex curves in 𝐑²
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Publication:3715619
DOI10.1090/S0273-0979-1986-15433-9zbMath0588.44007OpenAlexW2093881641MaRDI QIDQ3715619
Hasse Carlsson, James Vance, Michael Christ, Javier Duoandikoetxea, Stephen Wainger, Antonio Córdoba, José L. Rubio de Francia, David A. Weinberg
Publication date: 1986
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0273-0979-1986-15433-9
Related Items (32)
Bounds for singular fractional integrals and related Fourier integral operators ⋮ Classes of singular integrals along curves and surfaces ⋮ Vector-valued Hilbert transforms along curves ⋮ \(L^p\) bounds of maximal operators along variable planar curves in the Lipschitz regularity ⋮ Singular Radon transforms and maximal functions under convexity assumptions ⋮ Maximal functions along convex curves with lacunary directions ⋮ The maximal Hilbert transform along nonconvex curves ⋮ H1 boundedness of oscillatory singular integrals with degenerate phase functions ⋮ Maximal functions associated to a family of flat curves in lacunary directions ⋮ Estimates for Hilbert transforms along variable general curves ⋮ Weighted estimates for singular integrals via Fourier transform estimates ⋮ Hilbert transforms along convex curves for \(l^q\)-valued functions ⋮ Rough singular integrals associated to surfaces of revolution ⋮ Hilbert transforms along double variable fractional monomials ⋮ A general nonlinear version of Roth's theorem on the real line ⋮ \(L^ p\)-estimates for operators associated to oscillating plane curves ⋮ \(L^p\) estimates for rough singular integrals associated to some hypersurfaces ⋮ On rough Marcinkiewicz integrals along surfaces ⋮ Multiparameter singular integrals and maximal operators along flat surfaces ⋮ \(L^2\) boundedness of Hilbert transforms along variable flat curves ⋮ Oscillatory singular integrals on 𝐿^{𝑝} and Hardy spaces ⋮ Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods ⋮ \(L^p\) 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 ⋮ Singular integral and maximal operators associated to hypersurfaces: \(L^p\) theory ⋮ Unnamed Item ⋮ Singular integrals associated to hypersurfaces: \(L^2\) theory ⋮ \(L^p\)-estimates for singular integrals and maximal operators associated with flat curves on the Heisenberg group ⋮ Maximal singular integral operators along surfaces ⋮ Oscillatory integrals related to Carleson's theorem: fractional monomials ⋮ Singular Radon transforms along odd curves on the Heisenberg group ⋮ Hilbert transforms and maximal functions along variable flat curves
Cites Work
- Hilbert transforms for convex curves
- \(L^ p\) bounds for Hilbert transforms along convex curves
- Maximal functions for convex curves
- Hilbert transforms along curves. II: A flat case
- Hilbert Transforms Associated With Plane Curves
- Differentiation in lacunary directions
- Problems in harmonic analysis related to curvature
- Some Maximal Inequalities
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