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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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