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Register a new userOn bounded singular Cauchy’s integral in some functional classes
دراسة محدودية تكامل كوشي الشاذ في بعض الصفوف التابعية
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درسنا في هذا البحث تكامل كوشي الشاذ لتوابع تنتمي إلى صفوف واسعة من التوابع على أسر شهيرة من المنحنيات و بشكل خاص قمنا بدراسة محدودية هذا التكامل. حصلنا في هذا البحث على بعض النتائج التي تخص تكامل كوشي الشاذ و محدوديته في صفوف تابعية متفرعة عن فضاء ليبيغ و على منحنيات تنتمي إلى أسرة منحنيات كارلسون.
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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