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Potential operators and multipliers on locally compact Vilenkin groups

Published online by Cambridge University Press:  17 April 2009

Toshiyuki Kitada
Toshiyuki Kitada
Affiliation:
Department of Mathematics, Faculty of General Education, Hirosaka University, Hirosaka 036, Japan
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Abstract

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We study, under the setting of a locally compact Vilenkin group G, a weighted norm inequality for the potential operators of Riesz type and its applications to multipliers on G. We also consider the maximal operators of fractional type.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 3 , December 1996 , pp. 459 - 471
Copyright
Copyright © Australian Mathematical Society 1996

References

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