Complex symmetric weighted composition operators on the space $\mathcal{H}^2_2(\mathbb{D})$
Year: 2023
Type: preprint
Abstract: In this paper, we introduce a new norm for $\mathcal{S}^2(\mathbb{D})$, encompassing functions whose first and second derivatives belong to both the Hardy space $\mathcal{H}^2(\mathbb{D})$ and the classical Bergman space $\mathcal{A}^2(\mathbb{D})$. Moreover, we present some basic properties of the space $\mathcal{H}^2_2(\mathbb{D})$ and subsequently establish conditions for symbols $ϕ$ and $Ψ$ to provide $W_{Ψ, ϕ}$ complex symmetric, employing a unique conjugation $\mathcal{J}$.
Source: arXiv (Cornell University)
Authors: Ahamed, Molla Basir, Rahman, Taimur
Institution: Jadavpur University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4389115752