Geodesic
Function Spaces Continuously Paired by Operators of Convolution-Type
Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 499-507

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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. 
Kerman, R. A. Function Spaces Continuously Paired by Operators of Convolution-Type. Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 499-507. doi: 10.4153/CMB-1979-065-5
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     title = {Function {Spaces} {Continuously} {Paired} by {Operators} of {Convolution-Type}},
     journal = {Canadian mathematical bulletin},
     pages = {499--507},
     year = {1979},
     volume = {22},
     number = {4},
     doi = {10.4153/CMB-1979-065-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-065-5/}
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