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Lower bounds of tower type for Szemerédi's uniformity lemma

✍ Scribed by W.T. Gowers

Publisher
Springer
Year
1997
Tongue
English
Weight
341 KB
Volume
7
Category
Article
ISSN
1016-443X

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Lower bounds of Copson type for Nörlund
Lower bounds of Copson type for Nörlund matrices
✍ Chang-Pao Chen; Meng-Kuang Kuo; Kuo-Zhong Wang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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 Nörlund matrix associated with th