2 papers
math.FA2025
Dirichlet Spaces In Balls And Half-spaces of
Yan Yang, Tao Qian
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 respecti…
math.CV2024
Higher Dimensional Versions of the Douglas-Ahlfors Identities
Yan Yang, Tao Qian
Denote by the open unit disc in the complex plane and its boundary. Douglas showed through an identical quantity represented by the Fourier c…