Composition Operators on \bf H^p,q,s(B_n) of \bf ℂⁿ

2025/05/13 by Chen, H., Zhang, X.
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.08661

Abstract

Let B_n be the unit ball in the complex vector space ℂⁿ, and let φ: B_n→ B_n be a holomorphic mapping. In this paper, we characterize those symbols φ such that composition operators C_φ are bounded or compact on the general Hardy type space H^p,q,s(B_n). These results extend the relevant results on Hardy space and some other classical function spaces.

Citations

• Bounded Projections, Duality, and Multipliers in Spaces of Analytic Functions

Related

• Compact linear combinations of composition operators on Hardy spaces
• Characterizations of composition operators on Bloch and Hardy type spaces
• Weighted Composition Operators Acting on Harmonic Hardy Spaces
• Some revisited results about composition operators on Hardy spaces
• A Toeplitz type operator on Hardy spaces in the unit ball