3 papers
math.AP2022
Global tangential Calderon-Zygmund type estimates for the regional fractional Laplacian
Sujin Khomrutai, Armin Schikorra, Adisak Seesanea +1
We discuss tangential Sobolev-estimates up to the boundary for solutions to the regional fractional laplacian on the upper half-plane. These estimates can be used to reduce the bou…
math.AP2021
Calderon-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient
Mouhamed Moustapha Fall, Tadele Mengesha, Armin Schikorra +1
Given , and , we establish interior Calderon-Zygmund estimates for solutions of nonlocal equations of the form \[ \int_Ω \int_…
math.AP2020
Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel
Tadele Mengesha, Armin Schikorra, Sasikarn Yeepo
We study interior -regularity theory, also known as Calderon-Zygmund theory, of the equation \[ \int_{\mathbb{R}^n} \int_{\mathbb{R}^n} \frac{K(x,y)\ (u(x)-u(y))\, (φ(x)-φ(y))…