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On an inequality of Kolmogorov and Stein
Published online by Cambridge University Press: 17 April 2009
Abstract
A.N. Kolmogorov showed that, if f, f′, …, f (n) are bounded continuous functions on ℝ, then when 0 < k < n. This result was extended by E.M. Stein to Lebesgue Lp-spaces and by H.H. Bang to Orlicz spaces. In this paper, the inequality is extended to more general function spaces.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 61 , Issue 1 , February 2000 , pp. 153 - 159
- Copyright
- Copyright © Australian Mathematical Society 2000
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