Interpolating sequences for the Banach algebras generated by a class of test functions
نویسندگان
چکیده
Given a domain $\Omega$ in $\mathbb{C}^n$ and collection of test functions $\Psi$ on $\Omega$, we consider the complex-valued $\Psi$-Schur-Agler class associated to pair $(\Omega,\,\Psi)$. In this article, characterize interpolating sequences for Banach algebra which is closed unit ball. When disc $\mathbb{D}$ complex plane $\mathbb{C}$ function includes only identity $\mathbb{D}$, aforementioned bounded holomorphic case, our characterization reduces well known result by Carleson. Furthermore, present several other cases $(\Omega,\,\Psi)$, where main could be applied also show efficacy result.
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2023
ISSN: ['1848-9974', '1846-3886']
DOI: https://doi.org/10.7153/oam-2023-17-21