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Register a new userCompactness and Continuity Urysohn operator in SPACE Orlicz
استمرار و تراص مؤثر أوريسون في فضاء أورليتشس
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أحمد بكداش( باحث )
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الهدف من هذا البحث هو دراسة و تعميم بعض النتائج المتعلقة بتراص و استمرار مؤثر أوريسون بمتحولـــين المعرف بمعادلة تكاملية على مجموعة معرف عليها قياس لوبيغ في فضاء أورليشتس المزود بالنظيم و المحـــقق لشروط معينــة, و ثمً دراسة التقــارب المنتظم لمتتـالية من مؤثرات أوريسون المعرفة بالتوابـــع و ذلك باستخدام التقارب بالقياس من خلال الاعتماد على شرط كاراثيودوري للمجموعات القيوسة و الحصول على نتائج مماثلة لشروط الاستمرار و التراص لمؤثر اختياري يحققها مؤثر أوريسون.
The aim of this paper is to study and generalize some results that related by compactness and continuity of Urysohn.S operator of two variables on a set on which a lebesgue measure is defined and using the norm that achieved some certain conditions and study uniform convergence sequence of Urysohn.S. operators that defined by functions using conver -gence In measure depending on Caratheodory condition of measurable sets and obtain similar results related by continuity and compactness conditions of optional operator that achieved Urysohn .S operator.
References used
(Luxemburg W . A.J. and Zaanen A . C. :Some remarks on Banach function space , Nederl . Akad .Wetensch.Proc.ser.A.59-Indag.Math.56( 1984
(D.L.Cohn :,Measure Theory ,Birk hauser ,Boston,p.138-212. (1980
(D.Girela and J.A.P elaez:, Carlson Measures ,multipliers and integration operators for space of Dirichlet Type,J.Anal.Math .Malaga spain,1-15. ( 2006
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The aim of this paper is to study and generalize some results that related by the complete continuity of the urysohn.s operator of two variables on a set on which a lebesgue meagure is defined and study uniform convergence sequence of the urysohn .s.
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