Fourier multiplier theorem for atomic Hardy spaces on unbounded Vilenkin groups

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:363

Article

Avdispahic, M.¹  Memic, N.¹ 

[1] Univ Sarajevo, Dept Math, Sarajevo 71000, Bosnia & Herceg

关键词: Vilenkin groups;    Hardy spaces;    Multipliers;   

DOI  :  10.1016/j.jmaa.2009.09.037

来源: Elsevier

【 摘 要 】

We characterize atomic Hardy spaces on unbounded locally compact Vilenkin groups by means of a modified maximal function. The obtained Fourier multiplier theorem is more general than the corresponding results due to Kitada, Onneweer and Quek, Daly and Phillips that were proved under the boundedness assumption on the underlying group. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free