Maximal functions for convex curves
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Publication:1110760
DOI10.1215/S0012-7094-85-05237-8zbMath0657.42018OpenAlexW2084212896MaRDI QIDQ1110760
Stephen Wainger, James Vance, Alexander Nagel, David A. Weinberg
Publication date: 1985
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-85-05237-8
Related Items
Classes of singular integrals along curves and surfaces ⋮ Singular Radon transforms and maximal functions under convexity assumptions ⋮ 𝐿^{𝑝} estimates for maximal functions and Hilbert transforms along flat convex curves in 𝐑² ⋮ Maximal functions along convex curves with lacunary directions ⋮ A unified approach to three themes in harmonic analysis. I \& II: I. The linear Hilbert transform and maximal operator along variable curves. II Carleson type operators in the presence of curvature ⋮ Maximal functions associated to a family of flat curves in lacunary directions ⋮ \(L^ p\)-estimates for operators associated to oscillating plane curves ⋮ Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods ⋮ Fractional integrals of imaginary order supported on convex curves, and the doubling property ⋮ \(L^p\)-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
Cites Work
- Hilbert transforms for convex curves
- Hilbert transforms along curves. II: A flat case
- The Hilbert Transform and Maximal Function for Approximately Homogeneous Curves
- Singular Integrals and Maximal Functions Associated with Highly Monotone Curves
- Maximal functions: Homogeneous curves
- Problems in harmonic analysis related to curvature
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