An $L^p$-version of a theorem of D.A. Raikov

@article{Fendler1985,
abstract = {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 Figa-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.},
author = {Fendler, Gero},
journal = {Annales de l'institut Fourier},
keywords = {multipliers; Figà-Talamanca Herz space},
language = {eng},
number = {1},
pages = {125-135},
publisher = {Association des Annales de l'Institut Fourier},
title = {An $L^p$-version of a theorem of D.A. Raikov},
url = {http://eudml.org/doc/74661},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Fendler, Gero
TI - An $L^p$-version of a theorem of D.A. Raikov
JO - Annales de l'institut Fourier
PY - 1985
PB - Association des Annales de l'Institut Fourier
VL - 35
IS - 1
SP - 125
EP - 135
AB - 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 Figa-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.
LA - eng
KW - multipliers; Figà-Talamanca Herz space
UR - http://eudml.org/doc/74661
ER -