Uniform bounds for the bilinear Hilbert transforms. II

DOI10.4171/RMI/483zbMath1133.42022MaRDI QIDQ877807

Xiaochun Li

Publication date: 3 May 2007

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

Full work available at URL: https://projecteuclid.org/euclid.rmi/1169480040

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70)

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Cites Work

• Unnamed Item
• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
• On Calderón's conjecture
• Multilinear Calderón-Zygmund theory
• Uniform bounds for the bilinear Hilbert transforms. I
• A uniform estimate.
• On convergence and growth of partial sums of Fourier series
• On Singular Integrals
• On Calderón’s conjecture for the bilinear Hilbert transform
• On Commutators of Singular Integrals and Bilinear Singular Integrals
• COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
• Some Maximal Inequalities
• Pointwise convergence of Fourier series

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