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Improved estimates for the approximation numbers of Hardy-type operators

✍ Scribed by J. Lang

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 160 KB
Volume: 121
Category: Article
ISSN: 0021-9045
DOI: 10.1016/s0021-9045(02)00043-6

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## Abstract Let __I__ = [__a__ , __b__ ] ⊂ ℝ, let 1 < __q__ ≤ __p__ < ∞, let __u__ and __v__ be positive functions with __u__ ∈ __L__ ~__p__ ′~ (__I__ ) and __v__ ∈ __L__ ~__q__~ (__I__ ), and let __T__ : __L__ ~__p__~ (__I__ ) → __L__ ~__q__~ (__I__ ) be the Hardy‐type operator given by equation

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