Name
Title | ||
|---|---|---|
Essential norm of products of multiplication composition and differentiation operators on weighted Bergman spaces. |
Abstract | ||
|---|---|---|
Let ψ be a holomorphic function on the open unit disk D and φ a holomorphic self-map of D. Let Cφ,Mψ and D denote the composition, multiplication and differentiation operator, respectively. We find an asymptotic expression for the essential norm of products of these operators on weighted Bergman spaces on the unit disk. This paper is a continuation of our recent paper concerning the boundedness of these operators on weighted Bergman spaces. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2011.06.055 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Product operator,Multiplication operator,Bergman space,Essential norm,Unit disk | Holomorphic function,Multiplication operator,Mathematical analysis,Operator norm,Bergman kernel,Bergman space,Operator (computer programming),Unit disk,Operator theory,Mathematics | Journal |
Volume | Issue | ISSN |
218 | 6 | 0096-3003 |
Citations | PageRank | References |
6 | 0.50 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Stevo Stevic | 1 | 373 | 42.15 |
| Ajay K. Sharma | 2 | 139 | 25.90 |
| Ambika Bhat | 3 | 18 | 1.22 |