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Lower bounds of Copson type for Hausdorff matrices

✍ Scribed by Chang-Pao Chen; Kuo-Zhong Wang

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
164 KB
Volume
420
Category
Article
ISSN
0024-3795

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Lower bounds of Copson type for NΓΆrlund
Lower bounds of Copson type for NΓΆrlund matrices
✍ Chang-Pao Chen; Meng-Kuang Kuo; Kuo-Zhong Wang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 153 KB

Let A = (a n,k ) n,k 0 be a non-negative matrix. Denote by L p,q (A) the supremum of those L satisfying AX q L X p (X ∈ p , X 0), and define L (p),q (A) = L p,q (A) (p > 0). We derive a range for the value of L p,q (A NM W ), where 0 < q p < 1 and A NM W denotes the Nârlund matrix associated with th