Geodesic
Identities of Titchmarsh Type for Generalized Hardy and Hardy--Littlewood Operators
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 28-33

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A Titchmarsh-type theorem on Fourier transforms of Hardy and Hardy-Littlewood operators depending on parameter $\alpha\in (1/2,1]$ is proved. 
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     author = {S. S. Volosivets},
     title = {Identities of {Titchmarsh} {Type} for {Generalized} {Hardy} and {Hardy--Littlewood} {Operators}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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S. S. Volosivets. Identities of Titchmarsh Type for Generalized Hardy and Hardy--Littlewood Operators. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 28-33. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a6/