Weak amenability of weighted Orlicz algebras

Abstract

Let G be a locally compact abelian group, be a weight, and () be a complementary pair of strictly increasing continuous Young functions. We show that for the weighted Orlicz algebra , the weak amenability is obtained under conditions similar to the ones considered in Zhang (Proc Amer Math Soc 142:1649-1661, 2014) for weighted group algebras. Our methods can be applied to various families of weighted Orlicz algebras, including weighted -spaces.