MULTIPLIERS AND TENSOR PRODUCTS OF L(p, q) LORENTZ SPACES

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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(p1, q1)(G) to L(p'2, q'2)(G). For this reason, the authors define the spaceAp2,q2p1,q1(G), discuss its properties and prove that the space of multipliers from L(p1, q1)(G) to L(p'2, q'2)(G) is isometrically isomorphic to the dual of Ap2,q2p1,q1(G).
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