Multipliers of $\pmb{A}_{\pmb{p}}\pmb{((0,} \pmb{\infty}\pmb{))}$ with order convolution

Details Multipliers of $\pmb{A}_{\pmb{p}}\pmb{((0,} \pmb{\infty}\pmb{))}$ with order convolution Multipliers of $\pmb{A}_{\pmb{p}}\pmb{((0,} \pmb{\infty}\pmb{))}$ with order convolution

2006-07-28

arxiv.org/abs/math/0607729v1

Mathematics

Functional Analysis

8 pages

Scientific paper

The aim of this paper is to study the multipliers from $A_{r}(I)$ to
$A_{p}(I), r \ne p$, where $I=(0,\infty)$ is the locally compact topological
semigroup with multiplication max and usual topology and $A_{r}(I) = \{f \in
L_{1}(I)\hbox{:} \hat{f} \in L_{r}(\hat{I})\}$ with norm $|||f|||_{r} =
\|f\|_{1} + \|\hat{f}\|_{r}$.

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