Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies

TY - UNPB

T1 - Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies

AU - Ruiz, Patrica Alonso

AU - Baudoin, Fabrice

N1 - Updated version

PY - 2023/1/19

Y1 - 2023/1/19

N2 - This paper establishes sufficient general conditions for the existence of Mosco limits of Korevaar-Schoen $L^2$ energies, first in the context of Cheeger spaces and then in the context of fractal-like spaces with walk dimension greater than 2. Among the ingredients, a new Rellich-Kondrachov type theorem for Korevaar-Schoen-Sobolev spaces is of independent interest.

AB - This paper establishes sufficient general conditions for the existence of Mosco limits of Korevaar-Schoen $L^2$ energies, first in the context of Cheeger spaces and then in the context of fractal-like spaces with walk dimension greater than 2. Among the ingredients, a new Rellich-Kondrachov type theorem for Korevaar-Schoen-Sobolev spaces is of independent interest.

KW - math.FA

KW - math.MG

KW - math.PR

M3 - Preprint

BT - Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies

ER -