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  Volume 5, Issue 4, Article 105
 
On Embedding of the Class $H^{\omega }$

    Authors: Laszlo Leindler,  
    Keywords: Embedding relation, Bounded variation, Continuity.  
    Date Received: 24/08/04  
    Date Accepted: 29/09/04  
    Subject Codes:

26A15, 26A21, 26A45.

 
    Editors: Hüseyin Bor,  
 
    Abstract:

In [4] we extended an interesting theorem of Medvedeva [5] pertaining to the embedding relation $ H^{omega }subset Lambda BV,$ where $ Lambda BV$ denotes the set of functions of $ Lambda $-bounded variation, which is encountered in the theory of Fourier trigonometric series. Now we give a further generalization of our result. Our new theorem tries to unify the notion of $ varphi $-variation due to Young [6], and that of the generalized Wiener class $ BV(p(n)uparrow )$ due to Kita and Yoneda [3]. For further references we refer to the paper by Goginava [2].

         
       
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