Multipliers on weighted Hardy spaces over certain totally disconnected groups

Toshiyuki Kitada

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-10

Abstract:

In this note, we consider the multipliers on weighted H 1 spaces over totally disconnected locally compact abelian groups with a suitable sequence of open compact subgroups (Vilenkin groups). We first show an ( H 1 , L 1 ) multiplier result from which Onneweer's theorem follows. We also give an ( H 1 , H 1 ) multiplier result under a condition of Baernstein-Sawyer type.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:860275

DOI: 10.1155/S016117128800081X

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