A Note on Multipliers of Weighted Lebesgue Spaces

In this paper, it is solved that the spaces M (L-w(p/) (G), L-w/(infinity) (G)) and L-w(P) (G) can be topologically and algebraically identified, where 1 <= p= < 1 <= p(/) < infinity, 1/p + 1/p(/) = 1 and w a Beurling weight on a locally compact Abelian group G. Also it is proved that the spaces M (L-w(1) boolean AND L-w(p) (G), L-w(1) (G)) can be identified with the weighted spaces of bounded measures M-w (G).