Weak amenability of weighted Orlicz algebras
ARCHIV DER MATHEMATIK, vol.110, no.4, pp.363-376, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 110 Issue: 4
- Publication Date: 2018
- Doi Number: 10.1007/s00013-017-1119-z
- Journal Name: ARCHIV DER MATHEMATIK
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.363-376
- Istanbul University Affiliated: Yes
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.