Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation
DOI10.1016/j.jde.2023.10.027zbMath1526.42021MaRDI QIDQ6065765
No author found.
Publication date: 15 November 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
singular integralcommutatorsparse dominationgeneralized 2D dissipative quasi-geostrophic equationquantitative weighted boundedness
PDEs in connection with fluid mechanics (35Q35) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Harmonic analysis and PDEs (42B37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On pointwise estimates involving sparse operators
- Finite time singularity for the modified SQG patch equation
- Quantitative weighted estimates for rough homogeneous singular integrals
- On the regularity of a class of generalized quasi-geostrophic equations
- Global well-posedness for a modified critical dissipative quasi-geostrophic equation
- Global solutions to the two-dimensional quasi-geostrophic equation with critical or super-critical dissipation
- An extension of Calderón-Zygmund type singular integral
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Sharp weighted bounds for fractional integral operators
- Global well-posedness for the 2D critical dissipative quasi-geostrophic equation
- Remarks on well-posedness of the generalized surface quasi-geostrophic equation
- A maximum principle applied to quasi-geostrophic equations
- Beltrami operators in the plane
- Sharp weighted bounds without testing or extrapolation
- An extension of Calderón-Zygmund type singular integral with non-smooth kernel
- Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation
- A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
- Global existence for the critical dissipative surface quasi-geostrophic equation
- One and two weight norm inequalities for Riesz potentials
- On the existence of certain singular integrals
- On the critical dissipative quasi-geostrophic equation
- Sharp bounds for general commutators on weighted Lebesgue spaces
- Classical Fourier Analysis
- On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation
- On singular integrals with variable kernels
- Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
- Behavior of Solutions of 2D Quasi-Geostrophic Equations
- Weighted Norm Inequalities for Fractional Integrals
- Global well‐posedness for the 2D dissipative quasi‐geostrophic equations in modulation spaces
- Modern Fourier Analysis
- Local Regularity for the Modified SQG Patch Equation
- Weighted Norm Inequalities for Singular and Fractional Integrals
This page was built for publication: Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation