Abstract. We consider the homogeneous 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. In this paper, we introduce weighted Lp-spaces L p ω(G/H) for 1 ≤ p < ∞ and find the conditions for these spaces to become Banach algebra. In other words, we introduce a new class of Beurling algebras. Then we characterize some fundamental properties of these Beurling algebras.
