| Abstract: | In this paper, the authors first give the properties of theconvolutions of Orlicz-Lorentz spaces $Lambda_{varphi_1,w}$ and$Lambda_{varphi_2,w}$ on the locally compact abelian group.Secondly, the authors obtain the concrete representation as functionspaces for the tensor products of Orlicz-Lorentz spaces$Lambda_{varphi_1,w}$ and $Lambda_{varphi_2,w}$, and get the space of multipliers from the space$Lambda_{varphi_1,w}$ to the space $M_{varphi_{2*},w}$. Finally,the authors discuss the homogeneous properties for theOrlicz-Lorentz space $Lambda_{varphi,w}^{p,q}$. |
