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Function Spaces Continuously Paired by Operators of Convolution-Type

Published online by Cambridge University Press:  20 November 2018

R. A. Kerman
R. A. Kerman*
Affiliation:
Department of Mathematics, Brock University, St. Catharines, Ontario, L2S 3A1
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Abstract

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Certain operators essentially defined by convolution are considered. Their possible domain and range spaces are determined; then conditions are given under which the construction of the optimal continuous partner may be carried out for a suitable domain or range. Special cases of operators of convolution-type are useful in studying the boundedness properties of conjugate function operators and, more generally, classes of operators satisfying restricted weak-type conditions.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 4 , 01 December 1979 , pp. 499 - 507
Copyright
Copyright © Canadian Mathematical Society 1979

References

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