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Register a new userThe complete continuity of urysohn operator in orlicz space
الإستمرار التام لمؤثر أوريسون في فضاء أورليتش
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Tishreen University ورقة بحثية
Publication date
2016
fields
Mathematics
and research's language is
العربية
Created by
Shamra Editor
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الهدف من هذا البحث هو دراسة و تعميم بعض النتائج المتعلقة بالاستمرار التام لمؤثر أوريسون بمتحولين, و المعطى بمعادلة تكاملية على مجموعة قيوسة وفق قياس لوبيغ, من خلال دراسة التقارب المنتظم لمتتالية من مؤثرات أوريسون , المعطاة بالتوابع , و ذلك باستخدام التقارب بالقياس من خلال الإعتماد على شرط كاراثيودوري للمجموعات القيوسة.
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.operators that defined by functions using convergence meager Depending on caratheodory condition of measurable sets .
References used
BIRNBAUM, Z .and ORLICZ,W. uber die verallgemeierung des Begriffes der Zueinander konjugierten potenze , Studia Mathematica , 1-67; Zentralblatt , Vol.3 , 1931, p.252
D.L.COHN :,Measure Theory ,Birk hauser ,Boston,1980 , p.138-212
D.GIRELA and J.A.PELAEZ, Carlson Measures ,multipliers and integration operators for space of Dirichlet Type,J.Anal.Math .Malaga spain, 2006,p.1-15
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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 con
ditions 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.
The aim of this paper is to discuss the necessary and sufficient conditions for the continuity of operator linear integral in Orlicz space on a compact set of functions realized with the terms of a lebegue measure of the Euclidean space ending dimens
ion and the use of the terms continuous measurement N-function definition continued N-function some theorems in Hilbert, Banach spaces. Then the research touched on the concept of the continued complementary N-function given, in order to discuss the terms of a continuing full for Integrative operator linear kernel which is studied, and to achieve qualities compact a functions set in W. Orlicz space and choose the best approximation for linear integrative operators. Finally a comparison is carried out between continuing full and weak convergence of the functional sequences in subspace of W. Orlicz space.
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