B. G. Gabdulkhaev, “Continuity and compactness of singular integral operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, Number 8,Pages <nobr>3

This article is cited in 3 papers

Continuity and compactness of singular integral operators

B. G. Gabdulkhaev

Chair of Function Theory and Approximations, Kazan State University, Kazan, Russia

Abstract: In the space of square integrable functions we establish effective sufficient continuity and compactness conditions for singular integral operators with Cauchy kernels on a segment of the real axis.

Keywords: space of square integrable functions, singular integral with Cauchy kernel, linear operator, continuity, compactness.

UDC: 517.968+519.6

Received: 20.04.2007