# Quantitative H\"older Estimates for Even Singular Integral Operators on Patches

@inproceedings{Gancedo2021QuantitativeHE, title={Quantitative H\"older Estimates for Even Singular Integral Operators on Patches}, author={Francisco Gancedo and Eduardo Garc{\'i}a-Ju{\'a}rez}, year={2021} }

Abstract. In this paper we show a constructive method to obtain new Cσ estimates of even singular integral operators on characteristic functions of domains with C regularity, 0 ă σ ă 1. This kind of functions were shown in first place to be bounded (classically only in the BMO space) to obtain global regularity for the vortex patch problem [2]. This property has then been applied to solve different type of problems in harmonic analysis and PDEs. Going beyond in regularity, the functions are… Expand

#### 2 Citations

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

- 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… Expand

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… Expand

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