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

Yan Yang; Tao Qian

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arXiv · 2502.06896

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

Yan Yang·Tao Qian

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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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BibTeX RIS

Yan Yang, Tao Qian. 2025-02-09. Dirichlet Spaces In Balls And Half-spaces of $\R^n$. https://arxiv.org/abs/2502.06896

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