COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES
Let D be the unit disc and H（D） be the set of all analytic functions on D. In [2], C. Cowen defined a space H = f ∈ H（D） ： f（z） =sum from k=o to ∞ ak（z ＋ 1）k, z ∈ D, ‖f‖2 = sum from k=o to ∞ ｜ak｜24k ∞In this article, the authors consider the similar Hardy spaces with arbitrary weights and discuss s...
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| Veröffentlicht in: | Acta mathematica scientia 2011, Vol.31 (1), p.292-302 |
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| creator | 徐丽芳 邓方文 |
| description | Let D be the unit disc and H（D） be the set of all analytic functions on D. In [2], C. Cowen defined a space H = f ∈ H（D） ： f（z） =sum from k=o to ∞ ak（z ＋ 1）k, z ∈ D, ‖f‖2 = sum from k=o to ∞ ｜ak｜24k ∞In this article, the authors consider the similar Hardy spaces with arbitrary weights and discuss some properties of them. Boundedness and compactness of composition operators between such spaces are also studied. |
| doi_str_mv | 10.1016/S0252-9602(11)60229-4 |
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| ispartof | Acta mathematica scientia, 2011, Vol.31 (1), p.292-302 |
| issn | 0252-9602 1572-9087 |
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| source | Elsevier ScienceDirect Journals; Alma/SFX Local Collection |
| subjects | 30D55 32A35 47B33 Analytic functions Composition operator Discs Disks Operators weighted Hardy space 加权Hardy空间 单位圆盘 和空间 复合算子 有界性 解析函数 |
| title | COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES |
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