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A note on the spaces FP,µ*

Published online by Cambridge University Press:  14 February 2012

Adam C. McBride
Adam C. McBride
Affiliation:
Department of Mathematics, University of Strathclyde
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Synopsis

This note is concerned with the spaces F'p,µ of generalised functions introduced in a previous paper. A necessary and sufficient condition for an inclusion of the form

to hold is established. The case p = ∞ leads to consideration of a class G''∞µ whose simple properties are noted. Some consequences of relevance to fractional integrals and Hankel transforms are indicated.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 77 , Issue 1-2 , 1977 , pp. 39 - 47
Copyright
Copyright © Royal Society of Edinburgh 1977

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References

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