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

Savita Bhatnagar

paper

Multipliers of $A_{p} ((0, \infty))$ with order convolution

arXiv:math/0607729

Abstract

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

8 pages

Multipliers of Ap​((0,∞)) with order convolution

Abstract

Multipliers of $A_{p} ((0, \infty))$ with order convolution