Multipliers on weighted function spaces over locally compact Vilenkin groups

Yueping Zhu

doi:10.1017/s0004972700020372

Multipliers on weighted function spaces over locally compact Vilenkin groups

Yueping Zhu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this note, we consider multipliers on weighted function spaces over totally disconnected locally compact Abelian groups (Vilenkin groups). First we present an (H_α¹, L_α^q) multiplier result. Then we give an (H_α^p, H_α^p) multiplier result under a similar condition of Lu-Yang type. In Section 3, we Obtain a result about the boundedness of multipliers on weighted Besov spaces.

Original language	English
Pages (from-to)	337-351
Number of pages	15
Journal	Bulletin of the Australian Mathematical Society
Volume	65
Issue number	2
DOIs	https://doi.org/10.1017/s0004972700020372
Publication status	Published - Apr 2002
Externally published	Yes

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title = "Multipliers on weighted function spaces over locally compact Vilenkin groups",

abstract = "In this note, we consider multipliers on weighted function spaces over totally disconnected locally compact Abelian groups (Vilenkin groups). First we present an (Hα1, Lαq) multiplier result. Then we give an (Hαp, Hαp) multiplier result under a similar condition of Lu-Yang type. In Section 3, we Obtain a result about the boundedness of multipliers on weighted Besov spaces.",

author = "Yueping Zhu",

year = "2002",

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AB - In this note, we consider multipliers on weighted function spaces over totally disconnected locally compact Abelian groups (Vilenkin groups). First we present an (Hα1, Lαq) multiplier result. Then we give an (Hαp, Hαp) multiplier result under a similar condition of Lu-Yang type. In Section 3, we Obtain a result about the boundedness of multipliers on weighted Besov spaces.

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DO - 10.1017/s0004972700020372

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Multipliers on weighted function spaces over locally compact Vilenkin groups

Abstract

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