Convolutions, Tensor Products and Multipliers of the Orlicz-Lorentz Spaces

In this paper, the authors first give the properties of the convolutions of Orlicz- Lorentz spaces Aφ1,w and Aφ2,w on the locally compact abelian group. Secondly, the authors obtain the concrete representation as function spaces for the tensor products of Orlicz-Lorentz spaces Aφ1,w and Aφ2,w, and get the space of multipliers from the space Aφ1,w to the space Mφ2.w. Finally, the authors discuss the homogeneous properties for the Orlicz-Lorentz space Aφ,w^p,q.