This article is cited in 2 papers

Some properties of analytic in a disc functions and their applications to study of behaviour of singular integrals

R. B. Salimov

Chair of Higher Mathematics, Kazan State Architecture and Building University, Kazan, Russia

Abstract: 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, Hilbert kernel.

UDC: 517.983

Received: 02.03.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:3, 36–44

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