We consider the homogeneouse space G/H equipped with a strongly quasi-invariant Radon measure µ, where G is a locally compact group and H is a compact subgroup of G. We introduce a new Beurling algebra L1 ω(G/H) in which ω is a weight function on the homogeneous space G/H. Then we present the abstract structure of the Beurling algebra L1 ω(G/H) and study some properties of it.
