\(L^ p\) bounds for Hilbert transforms along convex curves
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Publication:1100674
DOI10.1007/BF01388753zbMath0641.42009MaRDI QIDQ1100674
Stephen Wainger, Alexander Nagel, Antonio Córdoba, James Vance, David A. Weinberg
Publication date: 1986
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143304
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Conjugate functions, conjugate series, singular integrals (42A50)
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Cites Work
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- Hilbert transforms for convex curves
- The spaces \(L^ p\), with mixed norm
- The Hilbert Transform for Convex Curves in R n
- The Hilbert Transform and Maximal Function for Approximately Homogeneous Curves
- Singular Integrals and Maximal Functions Associated with Highly Monotone Curves
- Hilbert Transforms Associated With Plane 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
