Multipliers and tensor products of L(p, q) Lorentz spaces

Abstract

Let G be a locally compact abelian group. The main purpose of this article is to find the space of multipliers from the Lorentz space L(p(1), q(1)) (G) to L(p(2)', q(2)') (G). For p, q1 (G), discuss its properties and prove that this reason, the authors define the space A(p1,q1)(p2,q1)(G), discuss its properties and prove that the space of multipliers from L(p(1), q(1)) (G) to L(p'(2), q(2)') (G) is isometrically isomorphic to the dual of A(p1,q1)(p2,q2) (G).