Necessary and sufficient conditions for the bounds of the commutators with fractional differentiations and BMO-Sobolev spaces on weighted Lebesgue space
DOI10.1007/s12220-021-00852-5zbMath1482.42021OpenAlexW4210548088MaRDI QIDQ2075346
Kai Zhu, Yan-ping Chen, Yan, Dunyan
Publication date: 14 February 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-021-00852-5
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis and PDEs (42B37)
Cites Work
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- On pointwise estimates involving sparse operators
- Commutators with fractional differentiation and new characterizations of BMO-Sobolev spaces
- The sharp weighted bound for general Calderón-Zygmund operators
- An elementary proof of the \(A_{2}\) bound
- Quantitative weighted estimates for rough homogeneous singular integrals
- Pseudodifferential operators and nonlinear PDE
- Factorization theorems for Hardy spaces in several variables
- On the compactness of operators of Hankel type
- Mean oscillation and commutators of singular integral operators
- Beltrami operators in the plane
- Regularity properties of commutators and \(BMO\)-Triebel-Lizorkin spaces
- Sparse bounds for maximal rough singular integrals via the Fourier transform
- Weighted norm inequalities for rough singular integral operators
- A sparse domination principle for rough singular integrals
- Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
- Fractional differentiation of the commutator of the Hilbert transform
- The A_2 theorem: Remarks and complements
- Sharp bounds for general commutators on weighted Lebesgue spaces
- Interpolation of Operators with Change of Measures
- Commutator estimates for Hölder continuous and bmo-Sobolev multipliers
- Classical Fourier Analysis
- Modern Fourier Analysis
- Regularity Properties of Commutators and Layer Potentials Associated to the Heat Equation
- On Commutators of Singular Integrals and Bilinear Singular Integrals
- On positivity of pseudo-differential operators
- Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
- Weighted estimates for commutators of linear operators
- Commutators of singular integrals revisited
- Paradifferential operators and commutator estimates
- Sharp estimates for the commutators of the Hilbert, Riesz transforms and the Beurling-Ahlfors operator on weighted Lebesgue spaces
- Mean Oscillation Over Cubes and Holder Continuity
- An Extension Problem Related to the Fractional Laplacian
- The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic
- COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
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