数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 292-302.doi: 10.1016/S0252-9602(11)60229-4
徐丽芳1,2|邓方文1
XU Li-Fang1,2, DENG Fang-Wen1
摘要:
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) =∑∞k=0ak(z + 1)k, ∀z ∈ D, ||f||2 =∑∞k=0|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.
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