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Inequalities with exponential weights

✍ Scribed by H.S. Jung; R. Sakai


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
205 KB
Volume
212
Category
Article
ISSN
0377-0427

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✦ Synopsis


Let R = (-∞, ∞) and let Q ∈ C 2 : R β†’ R + = [0, ∞) be an even function. Then in this paper we consider the infinite-finite range inequality, an estimate for the Christoffel function, and the Markov-Bernstein inequality with the exponential weights w (x)= |x| e -Q(x) , x ∈ R.


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This paper is a continuation of [a]. We study weighted function speces of type B;,(u) and F;,(U) on the Euclidean space Pi", where u is a weight function of at most exponential growth. In particular, u(z) = exp(i1zl) is an admissible weight. We deal with atomic decompoeitions of these spaces. Furthe

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