ON MAXIMAL FUNCTION AND V-CONJUGATION

Facta Universitatis. Series Mathematics and Informatics

Samra Sadikovic¹ 

[1] University of Tuzla

关键词: V-conjugation;    maximal function;    Vilenkin groups;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

In this paper we prove that on the 3-series field H1 cannot be defined by means of the V-conjugation. In other words, the norms kfkH1 and k ˜ fkL1 are not equivalent in the case of the 3-series field. This gives a new proof to the result of Memić [7], which answers a question raised by P. Simon [13]. Also, we prove that the mean value of function f ∈ L1(G) on the coset IN−1(x) is dominated by either MN−1 or MN on some translated element.

【 授权许可】

Unknown