Title of article :
Ultrasymmetric Orlicz spaces ✩
Author/Authors :
Sergei V. Astashkin، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
Abstract :
It is proved that ultrasymmetric reflexive Orlicz spaces can be described exactly as all those
Orlicz spaces which can be written as some Lorentz spaces. This description is an answer
to the problem posed by Pustylnik in [E. Pustylnik, Ultrasymmetric spaces, J. London Math.
Soc. (2) 68 (1) (2003) 165–182]. On the other hand, the Lorentz–Orlicz spaces with nontrivial
indices of their fundamental functions are ultrasymmetric
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications