Dirichlet Spaces In Balls And Half-spaces of $\R^n$

Published 9 Feb 2025 in math.FA | (2502.06896v2)

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.

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