34 citations · 63 across the 31 of their papers we have counts for
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math.AP2021
Connections between nonlocal operators: from vector calculus identities to a fractional Helmholtz decomposition
Marta D'Elia, Mamikon Gulian, Tadele Mengesha +1
Nonlocal vector calculus, which is based on the nonlocal forms of gradient, divergence, and Laplace operators in multiple dimensions, has shown promising applications in fields suc…
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.AP2021★ 2 cited
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization
Qiang Du, Tadele Mengesha, Xiaochuan Tian
In this work, we prove some trace theorems for function spaces with a nonlocal character that contain the classical space as a subspace. The result we obtain generalizes…