ON MULTIPLIERS OF THE GROUP L-p,(w)(G)-ALGEBRAS

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Eryılmaz İ., Duyar C.

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, vol.59, no.2, pp.253-268, 2013 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 59 Issue: 2
• Publication Date: 2013
• Doi Number: 10.2478/v10157-012-0045-4
• Journal Name: ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.253-268
• Keywords: multiplier, temperate (tempered) function, weighted Lebesgue spaces, GROUP LP-ALGEBRAS, P,P
• Ondokuz Mayıs University Affiliated: Yes

Abstract

Let G be a locally compact abelian group (non-compact, non-discrete) with Haar measure and 1 <= p < infinity : The purpose of this paper is to study the space of multipliers on L-p, (w) (G) and characterize it as the algebra of all multipliers of the closely related Banach algebra of tempered elements in L-p, (w) (G).