5 citations · 11 across the 9 of their papers we have counts for
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math.FA2022★ 5 cited
Trace and extension theorems for homogeneous Sobolev and Besov spaces for unbounded uniform domains in metric measure spaces
Ryan Gibara, Nageswari Shanmugalingam
In this paper we fix and consider $(\Om,d,μ)$ be an unbounded, locally compact, non-complete metric measure space equipped with a doubling measure supporting a…
math.AP2022★ 5 cited
Solving a Dirichlet problem for unbounded domains via a conformal transformation
Ryan Gibara, Riikka Korte, Nageswari Shanmugalingam
In this paper, we solve the -Dirichlet problem for Besov boundary data on unbounded uniform domains with bounded boundaries when the domain is equipped with a doubling measure s…
math.MG2022★ 1 cited
Conformal transformation of uniform domains under weights that depend on distance to the boundary
Ryan Gibara, Nageswari Shanmugalingam
The sphericalization procedure converts a Euclidean space into a compact sphere. In this note we propose a variant of this procedure for locally compact, rectifiably path-connected…