International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 4, Pages 665-674

Multipliers on weighted Hardy spaces over certain totally disconnected groups

Toshiyuki Kitada

Department of Mathematics, Faculty of General Education, Hirosaki University, Hirosaki 036, Japan

Received 24 June 1987; Revised 19 October 1987

Copyright © 1988 Toshiyuki Kitada. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this note, we consider the multipliers on weighted H1 spaces over totally disconnected locally compact abelian groups with a suitable sequence of open compact subgroups (Vilenkin groups). We first show an (H1,L1) multiplier result from which Onneweer's theorem follows. We also give an (H1,H1) multiplier result under a condition of Baernstein-Sawyer type.