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Multipliers between Some Spaces of Distributions

Published online by Cambridge University Press:  09 April 2009

J. F. Price
J. F. Price
Affiliation:
Institute of Advanced Studies Australian National University
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By the systematic use of Fourier transforms and suitable weight functions L. R. Volevich and B. P. Paneyakh brought many classes of spaces of distributions (including the Sobolev spaces) and their topological duals under the one unifying definition. The main purpose here is to demonstrate that the representation of multipliers between pairs of these spaces (that is, continuous linear operators from one space into another which commute with translations) may be related to the representation of multipliers between Lp and Lq.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 3-4 , May 1969 , pp. 415 - 423
Copyright
Copyright © Australian Mathematical Society 1969

References

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