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Function Spaces Continuously Paired by Operators of Convolution-Type
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1979
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