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Weighted norm inequalities of sum form involving derivatives

Published online by Cambridge University Press:  14 November 2011

Man Kam Kwong  and
A. Zettl
Man Kam Kwong
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois, U.S.A.
A. Zettl
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois, U.S.A.
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Synopsis

Here we obtain the inequality

under very general conditions on the non-negative weight functions u, v, w, for general p, l≦p<∞ and for both bounded and unbounded intervals I.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 88 , Issue 1-2 , 1981 , pp. 121 - 134
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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