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- Title
HARDY OPERATORS AND COMMUTATORS ON GENERALIZED CENTRAL FUNCTION SPACES.
- Authors
NGUYEN ANH DAO
- Abstract
In this paper, we would like to study the boundedness of operators of Hardy type on generalized central function spaces, such as the generalized central Hardy space HAφp (ℝn), the generalized central Morrey space Mφp (ℝn), and the generalized central Campanato space CMOφp (ℝn), with p ϵ (1, ∞), and φ (t) : (0, ∞) → (0,∞). We first show that HAφp' (ℝn) is the predual of CMOφp (ℝn). After that, we investigate the boundedness of operators of Hardy type on those spaces. By duality, we obtain the boundedness characterization of function b ϵCMOφp (ℝn) via the Mφp (ℝn) -boundedness of commutator [b, H*].
- Subjects
COMMUTATORS (Operator theory); LINEAR operators; OPERATOR theory; FUNCTION spaces; OPERATOR spaces; FUNCTIONAL analysis
- Publication
Mathematical Inequalities & Applications, 2022, Vol 25, Issue 4, p963
- ISSN
1331-4343
- Publication type
Article
- DOI
10.7153/mia-2022-25-61