منابع مشابه
Bergman Commutators and Norm Ideals
Let P be the orthogonal projection from L(B, dv) onto the Bergman space La(B, dv) of the unit ball in C . In this paper we characterize the membership of commutators of the form [Mf , P ] in the norm ideal CΦ, where the symmetric gauge function Φ is allowed to be arbitrary.
متن کاملNorm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces
Any analytic self-map of the open unit disk induces a bounded composition operator on the Hardy space H and on the standard weighted Bergman spaces Aα. For a particular self-map, it is reasonable to wonder whether there is any meaningful relationship between the norms of the corresponding operators acting on each of these spaces. In this paper, we demonstrate an inequality which, at least to a ...
متن کاملHankel Operators on Weighted Bergman Spaces and Norm Ideals
Consider Hankel operators Hf on the weighted Bergman space L 2 a(B, dvα). In this paper we characterize the membership of (H∗ fHf ) s/2 = |Hf | in the norm ideal CΦ, where 0 < s ≤ 1 and the symmetric gauge function Φ is allowed to be arbitrary.
متن کاملBoundedness of the Bergman Type Operators on Mixed Norm Spaces
Conditions sufficient for boundedness of the Bergman type operators on certain mixed norm spaces Lp,q(φ) (0 < p < 1, 1 < q <∞) of functions on the unit ball of Cn are given, and this is used to solve Gleason’s problem for the mixed norm spaces Hp,q(φ) (0 < p < 1, 1 < q <∞).
متن کاملThe Closure of the Hardy Space in the Bloch Norm
A description of the closure in the Bloch norm of the Bloch functions that are in a Hardy space is given. The result uses the classical estimates for the Lusin area function. §
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1983
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-43-1-23-33