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  Volume 8, Issue 4, Article 113
 
Upper estimates for Gâteaux Differentiability of Bump Functions in Orlicz-Lorentz Spaces
    Authors: B. Zlatanov,  
    Keywords: Orlicz function, Orlicz-Lorentz space, Smooth bump functions.  
    Date Received: 29/01/07  
    Date Accepted: 17/11/07  
    Subject Codes:

46B25, 40E30.

  
    Editors: Constantin P. Niculescu,  
 
    Abstract:

Upper estimates for the order of Gâteaux smoothness of bump functions in Orlicz-Lorentz spaces $ d(w,M,$$ Gamma$$ )$, $ Gamma$ uncountable, are obtained. The best possible order of Gâteaux differentiability in the class of all equivalent norms in $ d(w,M,$$ Gamma$$ )$ is found.

         
       
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