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A weighted gradient inequality

Published online by Cambridge University Press:  14 November 2011

Gordon Sinnamon
Gordon Sinnamon
Affiliation:
Department of Pure Mathematics, University of Waterloo, 200 University Avenue, West, Waterloo, Ontario, CanadaN2L 3G1
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Synopsis

Necessary and sufficient conditions on weights u and v are given for the inequality

to hold for all g ∊ .

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 111 , Issue 3-4 , 1989 , pp. 329 - 335
Copyright
Copyright © Royal Society of Edinburgh 1989

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References

1Bradley, J. S.. Hardy inequalities with mixed norms. Canad. Math. Bull. 21 (1978), 405–408.CrossRefGoogle Scholar
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3Muckenhoupt, B.. Hardy's inequality with weights. Studia Math. 44 (1972), 31–38.CrossRefGoogle Scholar
4Sinnamon, G. J.. Operators on Lebesgue Spaces with General Measures (Doctoral Thesis, McMaster University, 1987).Google Scholar