Nuclear Volterra composition operators between Bloch and weighted type spaces

2022/11/30 by Aakriti Sharma, Ajay Sharma, Sharma, Aakriti +1
Mathematics · #Holomorphic and Operator Theory #Advanced Banach Space Theory #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2211.16755

Abstract

In this paper, we completely characterize nuclear Volterra composition operators T^ϕ_g : \mathcal H^∞_ν\longrightarrow \mathcal H^∞_μ and S^ϕ_g : \mathcal H^∞_ν\longrightarrow \mathcal H^∞_μ acting between weighted type spaces in terms of the symbols g and ϕ of T^ϕ_g and S^ϕ_g and weights ν and μ, when the weights ν and μ are normal weights in the sense of Shields and Williams. Moreover, nuclear Volterra composition operators acting between little weighted type spaces and Bloch spaces of order β are also characterized.

Related

• Volterra-composition operators on the weighted Bergman space with exponential type weights
• Volterra type operators between Bloch type spaces and weighted Banach spaces
• Differences of Weighted Composition Operators from H^∞ to the Bloch Space
• Weighted Composition Operators from H^∞ to the Bloch Space in the Unit Ball of Cn
• Volterra type operators on growth Fock spaces