$L^p$ estimates for the variation for singular integrals on uniformly rectifiable sets
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Publication:5369027
DOI10.1090/tran/6987zbMath1392.42014arXiv1504.07035OpenAlexW2963650786MaRDI QIDQ5369027
Publication date: 11 October 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.07035
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)
Related Items (5)
Weighted variation inequalities for singular integrals and commutators in rearrangement invariant Banach and quasi-Banach spaces ⋮ The \(L^2\)-boundedness of the variational Calderón-Zygmund operators ⋮ Variation of Calderón–Zygmund operators with matrix weight ⋮ Weighted variation inequalities for singular integrals and commutators ⋮ Sparse domination and weighted inequalities for the \(\rho\)-variation of singular integrals and commutators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory
- A variation norm Carleson theorem
- Weighted variation inequalities for differential operators and singular integrals
- Variation for the Riesz transform and uniform rectifiability
- On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1
- Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
- Wavelets and singular integrals on curves and surfaces
- Oscillation and variation for the Hilbert transform
- Analytic capacity, rectifiability, Menger curvature and the Cauchy integral
- The Cauchy integral, analytic capacity, and uniform rectifiability
- Variation for singular integrals on Lipschitz graphs: 𝐿^{𝑝} and endpoint estimates
- Variation and oscillation for singular integrals with odd kernel on Lipschitz graphs
- Strong variational and jump inequalities in harmonic analysis
- Uniform rectifiability, Calderón-Zygmund operators with odd kernel, and quasiorthogonality
- La variation d'ordre p des semi-martingales
- Oscillation in ergodic theory
- Oscillation and variation for singular integrals in higher dimensions
- Variation inequalities for the Fejér and Poisson kernels
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