Maximal functions, Hardy spaces and Fourier multiplier theorems on unbounded Vilenkin groups

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:390

Article

Avdispahic, M.¹  Memic, N.¹  Weisz, F.² 

[1] Univ Sarajevo, Dept Math, Sarajevo 3335, Bosnia & Herceg

[2] Eotvos Lorand Univ, Dept Numer Anal, H-1117 Budapest, Hungary

关键词: Vilenkin groups;    Hardy spaces;    Multipliers;   

DOI  :  10.1016/j.jmaa.2012.01.019

来源: Elsevier

【 摘 要 】

We consider relations between various existing concepts of Hardy spaces on Vilenkin groups. The problem of an appropriate Fourier multiplier theorem for unbounded Vilenkin groups is revisited and the conditions made more precise under which such a theorem is established. Theorem 3.1 from Avdispahic and Memic (2010) [11] is rectified. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.

【 授权许可】

Free