An Analytic Weighted Lipschitz Algebraic Sequence with Closed Ideals
نویسندگان
چکیده
منابع مشابه
On Closed Ideals of Analytic Functions
1. The closed ideals in the algebra A of all continuous functions fieie) on the unit circle X = {eie: 0^.B<2ir] which have analytic extensions/(z), \z\ <1 have been determined by Beurling and independently by Rudin [5] as follows: Let Hx denote the weak* closure [A]* of A as a subset of Laidm), where m denotes the normalized Lebesgue measure dd/2ir on the circle. A function qEHTM is called inne...
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We obtain a complete description of closed ideals of the algebra D ∩ lip α , 0 < α ≤ 1 2 , where D is the Dirichlet space and lip α is the algebra of analytic functions satisfying the Lipschitz condition of order α.
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In this paper, a classification of the closed ideals of the Little Oh Lipschitz class of functions on the interval [O,lJ is provided. The technique used to classify the ideals of the class of continuous functions is modified and applied to the Little Oh Lipschitz class. It is shown that every ideal of these two classes has the form I = {f : fiE = 0} for some closed set E ~ [0, 1]. Furthermore, ...
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ژورنال
عنوان ژورنال: Journal of advances in mathematics and computer science
سال: 2023
ISSN: ['2456-9968']
DOI: https://doi.org/10.9734/jamcs/2023/v38i71777