Dirichlet Spaces In Balls And Half-spaces of $\R^n$
Functional Analysis
2025-03-11 v2
Abstract
The present paper studies the Dirichlet spaces in balls and upper-half Euclidean spaces. As main results, we give identical characterizations of the Dirichlet norms in the respective contexts as for the classical 2-D disc case proved by Douglas and Ahlfors.
Cite
@article{arxiv.2502.06896,
title = {Dirichlet Spaces In Balls And Half-spaces of $\R^n$},
author = {Yan Yang and Tao Qian},
journal= {arXiv preprint arXiv:2502.06896},
year = {2025}
}