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Analytic Besov spaces, approximation, and closed ideals
Published online by Cambridge University Press: 13 May 2022
Abstract
In this paper, we give a complete description of closed ideals of the Banach algebra
$\mathcal {B}^{s}_{p}\cap \lambda _{\alpha }$
, where
$\mathcal {B}^{s}_{p}$
denotes the analytic Besov space and
$\lambda _{\alpha }$
is the separable analytic Lipschitz space. Our result extends several previous results in Bahajji-El Idrissi and El-Fallah (2020, Studia Mathematica 255, 209–217), Bouya (2009, Canadian Journal of Mathematics 61, 282–298), and Shirokov (1982, Izv. Ross. Akad. Nauk Ser. Mat. 46, 1316–1332).
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- © The Author(s), 2022. Published by Cambridge University Press on behalf of The Canadian Mathematical Society
Footnotes
In memory of the late Brahim Bouya (1977–2020)
References
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