On the boundedness of the V-conjugation operator on Hardy spaces

New Zealand Journal of Mathematics (Online)

Nacima Memi

关键词: Vilenkin groups;    Hardy spaces;    V-conjugation operator.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

In this work we prove that the V-conjugation operator is of type(H1,H1). We provide an example that shows that the L1-norm of the V-conjugate function is not equivalent to the H1-norm of the original function on any Vilenkin group.

【 授权许可】

Unknown