Pseudo-contractibility Of Weighted L^p -Algebras

Let G be a locally compact group, 1 < p < ∞ and let ω be a weight function on G. Recently, we introduced the Lebesgue weighted L^p-algebra L^1p_ω(G). Here, we establish necessary and sufficient conditions for L^1p_ω(G) to be φ-contractible, pseudo-contractible or contractible. Moreover we give some similar results about L^P(G, ω).