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Sharp Weighted Multidimensional Integral Inequalities of Chebyshev Type

✍ Scribed by Sorina Barza; Lars-Erik Persson; Javier Soria


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
89 KB
Volume
236
Category
Article
ISSN
0022-247X

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Denote by \(\eta_{i}=\cos (i \pi / n), i=0, \ldots, n\) the extreme points of the Chebyshev polynomial \(T_{n}(x)=\cos (n \operatorname{arc} \cos x)\). Let \(\pi_{n}\) be the set of real algebraic polynomials of degree not exceeding \(n\), and let \(B_{n}\) be the unit ball in the space \(\pi_{n}\)

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## Abstract We give a condition which is sufficient for the two‐weight (__p__, __q__) inequalities for multilinear potential type integral operators, where 1 < __p__ ≀ __q__ < ∞. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)