استمرار وتراص مؤثر أوريسون في فضاء أورليتشس

Authors

  • أحمد بكداش

Abstract

الهدف من هذا البحث هو دراسة وتعميم بعض النتائج المتعلقة بتراص و استمرار  مؤثر أوريسون بمتحولـــين المعرف بمعادلة تكاملية على مجموعة  معرف عليها  قياس لوبيغ في فضاء أورليشتس المزود بالنظيم:

والمحـــقق لشروط معينــة ,وثمً دراسة التقــارب المنتظم لمتتـالية من مؤثرات أوريسون المعرفة بالتوابـــع  وذلك باستخدام التقارب بالقياس من خلال الاعتماد على شرط كاراثيودوري للمجموعات القيوسة والحصول على نتائج مماثلة لشروط الاستمرار والتراص 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 .

Author Biography

أحمد بكداش

قسم الرياضيات –كلية العلوم –جامعة تشرين- اللاذقية- سورية

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Published

2013-04-28

How to Cite

1.
بكداش أ. استمرار وتراص مؤثر أوريسون في فضاء أورليتشس. TUJ-BA [Internet]. 2013Apr.28 [cited 2024Nov.24];35(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/51

Issue

Vol. 35 No. 2 (2013): العلوم الأساسية

Section

Articles

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