The complete continuity of urysohn operator in orlicz space


Abstract in English

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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