Calderón commutators and the Cauchy integral on Lipschitz curves revisited. I. First commutator and generalizations
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Publication:742893
DOI10.4171/RMI/798zbMath1306.42026arXiv1201.3845MaRDI QIDQ742893
Publication date: 19 September 2014
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.3845
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)
Related Items (11)
Extrapolation on function and modular spaces, and applications ⋮ Multilinear multiplier theorems and applications ⋮ Lp$L^p$ bound for the Hilbert transform along variable non‐flat curves ⋮ Maximal functions associated to a family of flat curves in lacunary directions ⋮ Approximation in higher-order Sobolev spaces and Hodge systems ⋮ Boundedness criterion for bilinear Fourier multiplier operators ⋮ Averages of simplex Hilbert transforms ⋮ \(L^p\) estimates for a singular integral operator motivated by Calderón's second commutator ⋮ Calderón commutators and the Cauchy integral on Lipschitz curves revisited III. Polydisc extensions ⋮ Off-diagonal estimates for the first order commutators in higher dimensions ⋮ Singular Brascamp–Lieb: A Survey
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- \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
- On Calderón's conjecture
- Uniform bounds for the bilinear Hilbert transforms. I
- Carleson measures, trees, extrapolation, and \(T(b)\) theorems
- COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
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