Title of article :
Ultrasymmetric Orlicz spaces ✩
Author/Authors :
Sergei V. Astashkin، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
Pages :
13
From page :
273
To page :
285
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
Serial Year :
2008
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
937430
Link To Document :
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