Geodesic
Some properties of analytic in a~disc functions and their applications to study of behaviour of singular integrals
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2012), pp. 42-50

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We obtain representations for an analytic in a disc function such that its real part has a zero of an integer order at a fixed boundary point. We consider certain applications of these representations for studying properties of singular integrals with the Hilbert kernel.
Keywords: analytic function, Schwartz formula, singular integral
Mots-clés : Hilbert kernel. 
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     author = {R. B. Salimov},
     title = {Some properties of analytic in a~disc functions and their applications to study of behaviour of singular integrals},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {42--50},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_3_a5/}
}
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R. B. Salimov. Some properties of analytic in a~disc functions and their applications to study of behaviour of singular integrals. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2012), pp. 42-50. http://geodesic.mathdoc.fr/item/IVM_2012_3_a5/