- Norm and spectral radius of linear fractional composition operator on ball (arXiv)
Author: Michael T. Juror
Abstract: A new proof that all linear fractional mappings of the unit sphere induce bounded composition operators at standard scales in the space of Hilbert functions on the sphere, obtaining normed bounds similar to standard univariate estimates. Masu. We also show that Cowen's one-variable spectral radius formula extends to these operators.The key observation underlying these results is that all rows
2. Macroscopic dimensions of the ℓp ball relative to the ℓq norm
Author: Masaki Tsukamoto
Summary: Give an estimate of the “macroscopic dimensions” of the ℓp ball with respect to the ℓq norm.
2. Basic norms of weighted composition operators between robust spaces within the unit sphere
Author: Zhong-Shan Fang, Ze-Hua Zhou
Summary: Let φ(z)=(φ1(z),…,φn(z)) be a holomorphic self-map of Bn, ψ(z) be a holomorphic function on Bn, and H(Bn) be the class of all holomorphic functions. A function on Bn. Here, Bn is the unit sphere of Cn. The weight composition operator Wψ,φ is defined by Wψ,φ=ψf(φ) for f∈H(Bn). In this paper, we describe the Hardy space Hp to Hq (0
