International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 4, Pages 665-674
doi:10.1155/S016117128800081X

Multipliers on weighted Hardy spaces over certain totally disconnected groups

Abstract

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.