3 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…
math.CV2015
Sharp inequalities of homogeneous expansions for quasi-convex mappings of type B and almost starlike mappings of order alpha
Ming-Sheng Liu, Fen Wu, Yan Yang
In this paper, we first obtain several sharp inequalities of homogeneous expansion for both the subclass of all normalized biholomorphic quasi-convex mappings of type B and order a…