The exact value of Jung constants in a class of Orlicz function spaces

• Autores: Y. Q. Yan
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 56, Fasc. 3, 2005, págs. 253-263
• Idioma: inglés
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• Resumen

  • Let _ be an Nfunction, then the Jung constants of the Orlicz function spaces L_[0,1] generated by _ equipped with the Luxemburg and Orlicz norms have the exact value:

    (i) If F_(t)=t'(t)/_(t) is decreasing and 1

    (ii) If F_(t) is increasing and C_>2, then JC(L(_)[0,1])=JC(L_[0,1])=2-1/C_, where C_= lim t!+1 t'(t)/_(t).