34 citations · 37 across the 5 of their papers we have counts for
5 papers
Calderon-Zygmund theory for strongly coupled linear system of nonlocal equations with Holder-regular coefficient
Tadele Mengesha, Armin Schikorra, Adisak Seesanea +1
We extend the Calderón-Zygmund theory for nonlocal equations to strongly coupled system of linear nonlocal equations , where the operator $\mathcal{L}^{s…
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…
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_…
On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations
Sasikarn Yeepo, Wicharn Lewkeeratiyutkul, Sujin Khomrutai +1
We show that the operator \[ T_{K,s_1,s_2}f(z) := \int_{\mathbb{R}^n} A_{K,s_1,s_2}(z_1,z_2) f(z_2)\, dz_2 \] is a Calderon-Zygmund operator. Here for $K \in L^\infty(\mathbb{R}^n…
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))…