Abstract
Let be a complete positive –finite measure space and be a symmetric diffusion semigroup of contraction operators on . We prove that for , the domain of the infinitesimal generator of the semigroup is precisely the space . We also establish that for , the function spaces
are equal for every .
Citation
Maxim J. Goldberg. Seonja Kim. "AN EXPLICIT CHARACTERIZATION OF THE DOMAIN OF THE INFINITESIMAL GENERATOR OF A SYMMETRIC DIFFUSION SEMIGROUP ON OF A COMPLETE POSITIVE SIGMA-FINITE MEASURE SPACE." Real Anal. Exchange 46 (2) 345 - 358, 2021. https://doi.org/10.14321/realanalexch.46.2.0345
Information