On bounded singular Cauchy’s integral in some functional classes


Abstract in English

In this research westudied singular Cauchy’s integral for functionsbelong to wide classes of functions on a famous curves families .Especially we study the boundness of this integral. Wehave obtained some results about singular Cauchy’s integral and it’sboundness for some functional classes branched from Lebesuge classes.

References used

GUVEN,A ; ISRAFILOV,D.M.Multiplier theorems in weighted smirnovspaces. J. Korean math soc,45,NO6,2008,PP.1535-1548
RICARDO ABREU BLAYA . JUAN BORY REYES . Boris Kats Cauchy integral and singular integral operator over closedJordancurves Received: 25 November 2013 / Accepted: 5 June 2014 © Springer-Verlag Wien 2014
ARXIV.matrix Riemann -hilbert problems with jumps across carleson contours. 1401.2506v2]math.cv[18 feb2014

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