Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4667556 | Advances in Mathematics | 2008 | 23 Pages |
Abstract
We obtain a complete description of closed ideals in weighted Lipschitz algebras ÎÏ of analytic functions on the unit disk satisfying the following condition|f(z)âf(w)|Ï(|zâw|)=o(1)(as |zâw|â0), where Ï is a modulus of continuity satisfying some regularity conditions. In particular the closed ideals of the algebras ÎÏα, where Ïα(t):=1(|log(t)|+1)α, α>0, are standard and this answers Shirokov's question [N.A. Shirokov, Closed ideals of algebras of Bpqα-type, Izv. Akad. Nauk SSSR Mat. 46 (6) (1982) 1316-1333 (in Russian), p. 587].
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Brahim Bouya,