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A note on the Stieltjes transformation

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, Canada, N2L 3G1
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Synopsis

A necessary and sufficient condition for the boundedness of the generalised Stieltjes transformation on weighted Lebesgue spaces is obtained and applied to extend the Hilbert double series theorem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 1-2 , 1988 , pp. 73 - 78
Copyright
Copyright © Royal Society of Edinburgh 1988

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References

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