2 papers
math.AP2022
On some equivalent norms in Sobolev spaces on bounded domains and on the boundaries
Bienvenido Barraza Martínez, Jonathan González Ospino, Jairo Hernández Monzón
We consider the equivalence of some norms in Sobolev spaces on bounded domains of the d-dimensional real Euclidean space and also in Sobolev spaces on the boundaries of those domai…
math.AP2021
On Trace Theorems and Poincare inequality for one-dimensional Sobolev spaces
Bienvenido Barraza Martínez, Jonathan González Ospino, Jairo Hernández Monzón
In these notes, we present versions of trace theorems for Sobolev spaces over an interval in the real line, and also a one-dimensional version of the well-known Poincare inequality…