Ultrasymmetric Orlicz spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:347

Article

Astashkin, Sergei V.²  Maligranda, Lech¹ 

[1] Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden

[2] Samara State Univ, Dept Math & Mech, Samara 443011, Russia

关键词: rearrangement invariant spaces;    fundamental function;    Boyd indices;    ultrasymmetric rearrangement invariant spaces;    Lorentz spaces;    Marcinkiewicz spaces;    Orlicz spaces;    Lorentz-Orlicz spaces;    interpolation of operators;   

DOI  :  10.1016/j.jmaa.2008.05.065

来源: Elsevier

【 摘 要 】

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 Pustyinik in [E. Pustylnik, Ultrasymmetric spaces, J. London Math. Soc. (2) 68 (1) (2003) 165-182]. On the other hand, the Lorentz-Orlicz spaces with non-trivial indices of their fundamental functions are ultrasymmetric. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free