# Quantitative Hölder Estimates for Even Singular Integral Operators on patches

```@article{Gancedo2022QuantitativeHE,
title={Quantitative H{\"o}lder Estimates for Even Singular Integral Operators on patches},
author={Francisco Gancedo and Eduardo Garc{\'i}a-Ju{\'a}rez},
journal={Journal of Functional Analysis},
year={2022}
}```
• Published 17 September 2021
• Mathematics
• Journal of Functional Analysis
2 Citations

### Se p 20 21 GLOBAL REGULARITY OF 2 D NAVIER-STOKES FREE BOUNDARY WITH SMALL VISCOSITY CONTRAST

• Mathematics
• 2021
This paper studies the dynamics of two incompressible immiscible fluids in 2D modeled by the inhomogeneous Navier-Stokes equations. We prove that if initially the viscosity contrast is small then

### Global Regularity of 2D Navier-Stokes Free Boundary with Small Viscosity Contrast

• Mathematics
• 2021
. This paper studies the dynamics of two incompressible immiscible ﬂuids in 2D modeled by the inhomogeneous Navier-Stokes equations. We prove that if initially the viscosity contrast is small then

## References

SHOWING 1-10 OF 21 REFERENCES

### Characterizing regularity of domains via the Riesz transforms on their boundaries

• Mathematics
• 2016
Given a domain D in R^d with mild geometric measure theoretic assumptions on its boundary, we show that boundedness of the principal value Riesz tranforms (witn kernel of homogeneity -(d-1)) on

### Estimates for the maximal singular integral in terms of the singular integral: the case of even kernels

• Mathematics
• 2011
Let T be a smooth homogeneous Calder on-Zygmund singular integral operator in R n . In this paper we study the problem of controlling the maximal singular integral T ? f by the singular integral Tf.

### Global Regularity of 2D Navier-Stokes Free Boundary with Small Viscosity Contrast

• Mathematics
• 2021
. This paper studies the dynamics of two incompressible immiscible ﬂuids in 2D modeled by the inhomogeneous Navier-Stokes equations. We prove that if initially the viscosity contrast is small then

### Global Regularity of 2D Density Patches for Inhomogeneous Navier–Stokes

• Mathematics
• 2016
This paper is about Lions’ open problem on density patches (Lions in Mathematical topics in fluid mechanics. Vol. 1, volume 3 of Oxford Lecture series in mathematics and its applications, Clarendon

### Striated Regularity of 2-D Inhomogeneous Incompressible Navier–Stokes System with Variable Viscosity

• Mathematics
Communications in Mathematical Physics
• 2019
In this paper, we investigate the global existence and uniqueness of strong solutions to 2D incompressible inhomogeneous Navier–Stokes equations with viscous coefficient depending on the density and

### The regularity of the boundary of vortex patches for some non-linear transport equations

• Mathematics
• 2021
We prove the persistence of boundary smoothness of vortex patches for nonlinear transport equations with velocity fields given by convolution of the density with a kernel of the form L(∇N), where N

### Regularity Results for Viscous 3D Boussinesq Temperature Fronts

• Mathematics
Communications in Mathematical Physics
• 2020
This paper is about the dynamics of non-diffusive temperature fronts evolving by the incompressible viscous Boussinesq system in \$\${\mathbb {R}}^3\$\$ R 3 . We provide local in time existence results

### Persistance de structures géométriques dans les fluides incompressibles bidimensionnels

— In this paper, we study thé properties of a solution of thé incompressible Euler System for large time. We suppose that thé initial vorticity is thé characteristic function of a regular bounded

### Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals

• Mathematics
• 1993
PrefaceGuide to the ReaderPrologue3IReal-Variable Theory7IIMore About Maximal Functions49IIIHardy Spaces87IVH[superscript 1] and BMO139VWeighted Inequalities193VIPseudo-Differential and Singular