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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive
Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 1(2), Pages 28–33 (Mi isu367)
This article is cited in 1 paper

Mathematics

Identities of Titchmarsh Type for Generalized Hardy and Hardy–Littlewood Operators

S. S. Volosivets

Saratov State University named after N. G. Chernyshevsky, Faculty of Mathematics and Mechanics

Abstract: A Titchmarsh-type theorem on Fourier transforms of Hardy and Hardy-Littlewood operators depending on parameter $\alpha\in (1/2,1]$ is proved.

Key words: Hardy operator, Hardy–Littlewood operator, Titchmarsh theorem.

UDC: 517.51

DOI: 10.18500/1816-9791-2013-13-1-2-28-33



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