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On an inequality of Kolmogorov and Stein

Published online by Cambridge University Press:  17 April 2009

Ha Huy Bang  and
Hoang Mai Le
Ha Huy Bang
Affiliation:
Institute of Mathematics, P.O. Box 61, 10000 Bo Ho, Hanoi, Vietnam
Hoang Mai Le
Affiliation:
Thainguyen Pedagogic College, Thainguyen, Vietnam
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Abstract

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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

References

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