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A sharp inequality related to Moser's inequality

Published online by Cambridge University Press:  26 February 2010

P. C. McCarthy
Affiliation:
Department of Mathematics, University CollegeCork, Ireland
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Extract

In this paper we shall be concerned with the growth of functions in the class ℳp, where we write f ∈ ℳp 1 <p<∞, if:

(i) f is absolutely continuous on bounded subintervals of [0, ∞]);

(ii) f(0) = 0; and

(iii) .

MSC classification

Type
Research Article
Copyright
Copyright © University College London 1993

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References

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