Multipliers on weighted Hardy spaces over certain totally disconnected groups

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...

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Bibliographic Details
Main Author: Toshiyuki Kitada
Format: Article
Language:English
Published: Hindawi Limited 1988-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117128800081X