An \(L^ p\)-version of a theorem of D. A. Raikov
type: Item
instance of: scholarly article
title: An \(L^ p\)-version of a theorem of D. A. Raikov
zbMATH Open document ID: 0543.43003
author: Gero Fendler
publication date: 1985-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74661
review text: Let \(G\) be a locally compact group, for \(p\in(1,\infty)\) let \(Pf_ p(G)\) denote the closure of \(L^ 1(G)\) in the convolution operators on \(L^ p(G)\). Denote \(W_ p(G)\) the dual of \(Pf_ p(G)\) which is contained in the space of pointwise multipliers of the Figà-Talamanca Herz space \(A_ p(G)\). It is shown that on the unit sphere of \(W_ p(G)\) the \(\sigma(W_ p,Pf_ p)\) topology and the strong \(A_ p\)-multiplier topology coincide.
Mathematics Subject Classification ID: 43A22
zbMATH DE Number: 3863823
zbMATH Keywords: multipliers
zbMATH Keywords: Figà-Talamanca Herz space
MaRDI profile type: Publication
OpenAlex ID: W2329566525
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DOI: 10.5802/AIF.1002
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 3863823