66 citations · 691 across the 59 of their papers we have counts for
4 papers · 1 filter
Carnot-Caratheodory and Koranyi-Geodesics in the Heisenberg Group
Josh Ascher, Armin Schikorra
This paper is part of an undergraduate research project. We discuss the Heisenberg group H1, the three-dimensional space R3 equipped with one of two equivalent metrics, the Koranyi…
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…
Nonlocal Bounded Variations with Applications
Harbir Antil, Hugo Díaz, Tian Jing +1
Motivated by problems where jumps across lower dimensional subsets and sharp transitions across interfaces are of interest, this paper studies the properties of fractional bounded…
Quantitative estimates for fractional Sobolev mappings in rational homotopy groups
Woongbae Park, Armin Schikorra
Let be a smooth simply connected compact manifold without boundary. A rational homotopy subgroup of is represented by a homo…