Necessary conditions for the boundedness of linear and bilinear commutators on Banach function spaces
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Publication:4606360
DOI10.7153/mia-2018-21-01zbMath1384.42012arXiv1701.07763OpenAlexW2963470357MaRDI QIDQ4606360
Lucas Chaffee, David V. Cruz-Uribe
Publication date: 2 March 2018
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.07763
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)
Related Items (14)
Multilinear commutators related to maximal function on Morrey-Banach space and its application ⋮ The unified theory for the necessity of bounded commutators and applications ⋮ The factorization of \(H^\rho (\mathbb{R}^n)\) via multilinear Calderón-Zygmund operators on weighted Lebesgue spaces ⋮ Two weighted estimates for the commutators of multilinear maximal singular integral operators with Dini-type kernels ⋮ The necessity theory for commutators of multilinear singular integral operators: the weighted case ⋮ Unnamed Item ⋮ Characterization of Lipschitz functions on ball Banach function spaces ⋮ Compactness characterizations of commutators on ball Banach function spaces ⋮ Extrapolation and interpolation in generalized Orlicz spaces ⋮ A multilinear reverse Hölder inequality with applications to multilinear weighted norm inequalities ⋮ The \(L^p\)-to-\(L^q\) boundedness of commutators with applications to the Jacobian operator ⋮ The higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms ⋮ Notes on commutator on the variable exponent Lebesgue spaces ⋮ New oscillation classes and two weight bump conditions for commutators
Cites Work
- Unnamed Item
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- Kato-Ponce inequalities on weighted and variable Lebesgue spaces.
- Multiple weighted estimates for commutators of multilinear fractional integral operators
- The multisublinear maximal type operators in Banach function lattices
- Variable Lebesgue spaces. Foundations and harmonic analysis
- On the absolute convergence of multiple Fourier series
- New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
- Weighted inequalities for multilinear fractional integral operators
- Weighted estimates for a class of multilinear fractional type operators
- Mean oscillation and commutators of singular integral operators
- Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function
- Endpoint estimates and weighted norm inequalities for commutators of fractional integrals
- Extrapolation of weighted norm inequalities for multivariable operators and applications
- Multilinear estimates and fractional integration
- Multilinear Calderón-Zygmund theory
- Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals
- Extrapolation and weighted norm inequalities in the variable Lebesgue spaces
- Characterizations of bounded mean oscillation through commutators of bilinear singular integral operators
- Classical Fourier Analysis
- Weighted Inequalities for Maximal Operators: Linearization, Localization and Factorization
- Two-weighted estimations for the Hardy-Littlewood maximal function in ideal Banach spaces
- On multilinear fractional integrals
- Maximal operator and weighted norm inequalities for multilinear singular integrals
- Weighted Norm Inequalities for Fractional Integrals
- The Structure of the Reverse Holder Classes
- Variable Hardy Spaces
- Some remarks on multilinear maps and interpolation
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